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Final Drive Ratio Calculator

Calculate the total drivetrain gear multiplication from engine to wheels by combining transmission gear ratio, transfer case ratio, and axle (differential) ratio. Instantly see overall torque multiplication, estimate engine RPM at any speed, and optimize your vehicle's gearing for towing, racing, or fuel economy.

Final Drive Ratio Calculator — リアルタイム比率プレビュー
Final Drive Ratio
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Proportion Solver
A : B = C : D — Enter any 3 values
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Results
Visual ratio breakdown
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    Ratio Simplifier
    Reduce any ratio to its simplest form
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    Simplified Result
    Reduced to lowest terms
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      Ratio Scaler
      Multiply a ratio by a scale factor
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      Scaled Result
      Ratio after scaling
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        What is Final Drive Ratio?

        The final drive ratio is the combined gear reduction from the engine crankshaft all the way to the drive wheels. It multiplies the individual ratios of the transmission gear, transfer case (on 4WD vehicles), and rear axle differential. In first gear with a 3.50:1 transmission ratio and a 3.73:1 axle ratio, the final drive ratio is 3.50 × 3.73 = 13.06:1 — meaning the engine crankshaft rotates 13.06 times for every single wheel rotation.

        The final drive ratio directly determines the trade-off between torque at the wheels and vehicle speed. A higher overall ratio (larger number) delivers more torque multiplication for acceleration and hill climbing but limits top speed. A lower ratio (smaller number, as in highway overdrive) allows higher speeds and better fuel economy but reduces pulling force. Understanding this ratio is essential for matching drivetrain gearing to your vehicle's intended use.

        使用される計算公式・方程式

        この計算ツールは5つの主要な公式を使用しています:

        1 Final Drive Ratio ▼
        FDR = Transmission Ratio × Transfer Case Ratio × Axle Ratio

        3.5 × 1.0 × 3.73 = 13.06:1 in first gear (2WD without transfer case).

        2 RPM at Road Speed ▼
        RPM = (Speed × FDR × 336) / Tire Diameter

        At 60 mph, FDR 2.61 (overdrive), 30" tires: RPM = (60 × 2.61 × 336) / 30 = 1755 RPM.

        3 Road Speed at RPM ▼
        Speed = (RPM × Tire Diameter) / (FDR × 336)

        At 3000 RPM, FDR 3.73, 28" tires: Speed = (3000 × 28) / (3.73 × 336) = 67 mph.

        Explore all calculation options on the 比率計算ツール home page.

        比率計算ツールの使い方

        この比率計算ツールは、以下の3ステップで簡単にご利用いただけます:

        1

        数値を入力

        入力欄に既知の比率の値を入力します。求めたい未知数の入力欄は空欄のままにしておきます。

        2

        モードを選択

        比率モード(解く、簡素化、スケーリング)を選択します。各モードで異なる計算式が適用されます。

        3

        結果を確認

        計算するボタンを押します。結果画面に答えと、視覚的な比率バー、円グラフ、詳細なステップバイステップの解決プロセスが表示されます。

        実例問題と段階的な解説

        本比率計算ツールを使って、以下の3つの例題をステップバイステップで解決するプロセスです:

        入力 1 Truck in 3rd gear: trans 1.5:1, axle 4.10:1
        1 Multiply transmission gear ratio by differential axle ratio.
        2 Calculation: 1.50 × 4.10 = 6.15.
        3 Express as overall crawl/drivetrain ratio.
        ✓ Overall Drive Ratio is 6.15 : 1
        入力 2 Highway cruise: overdrive 0.70:1, axle 3.55:1
        1 Multiply overdrive ratio by axle ratio: 0.70 × 3.55 = 2.485.
        2 Calculate effective wheel torque multiplication factor.
        ✓ Final Drive Ratio is 2.485 : 1 (Fuel-Efficient Cruise)
        入力 3 4×4 in low range: trans 1:1, T-case 2.72:1, axle 3.73:1
        1 Multiply all 3 reduction stages: 1.00 × 2.72 × 3.73 = 10.1456.
        2 Calculate crawl torque multiplication.
        ✓ Total Crawl Ratio is 10.15 : 1

        よくある質問 (FAQ)

        How does final drive ratio affect acceleration vs. top speed? ▼

        Higher final drive ratios (larger numbers like 13:1 in first gear) multiply engine torque dramatically, providing strong acceleration from a stop. Lower ratios (like 2.5:1 in overdrive) allow higher top speeds but deliver less wheel torque. The ideal drivetrain offers high ratios in low gears for acceleration and low ratios in top gear for cruising.

        What is a transfer case ratio? ▼

        The transfer case in 4WD/AWD vehicles provides two ranges: high range (typically 1:1, no additional reduction) and low range (typically 2.5:1 to 4.0:1 additional reduction). Low range multiplies the final drive ratio by the low-range factor, providing extreme torque for off-road crawling and steep terrain.

        How do I calculate engine RPM at highway speed? ▼

        Use the formula: RPM = (Speed in MPH × Final Drive Ratio × 336) ÷ Tire Diameter in inches. For example, at 70 MPH with a 2.61:1 overdrive final drive ratio and 30-inch tires: RPM = (70 × 2.61 × 336) ÷ 30 = 2,047 RPM.

        Does changing tire size affect the effective final drive ratio? ▼

        Yes, significantly. Larger tires act as a gear reduction (lowering the effective ratio) because the wheel travels more distance per rotation. Going from 30-inch to 33-inch tires reduces the effective ratio by 10%, weakening acceleration and towing power. Re-gearing the axle compensates for this change.

        What final drive ratio is best for towing? ▼

        For heavy towing, you want a final drive ratio of 10:1 to 15:1 in the tow-start gear. This typically means a 3.73 or 4.10 axle ratio combined with a low first-gear transmission ratio (3.0-4.0:1). Avoid relying on overdrive gears for towing on grades — lock out overdrive and use a gear with sufficient torque multiplication.

        What is a crawl ratio and why does it matter? ▼

        The crawl ratio is the maximum final drive ratio available: first gear × low-range transfer case × axle ratio. For off-road vehicles, it determines how slowly and powerfully you can crawl over obstacles. A Jeep Wrangler Rubicon has approximately a 73:1 crawl ratio (4.0 × 4.0 × 4.56), providing excellent control on technical terrain.

        How do automatic transmission torque converters affect the final drive? ▼

        A torque converter multiplies torque at stall (up to 2.0-2.5×) and during initial acceleration, effectively increasing the final drive ratio during launch. This extra multiplication disappears once the converter locks up (usually above 30-40 MPH), so it only affects low-speed situations.

        What is overdrive and how does it affect final drive ratio? ▼

        Overdrive is any gear with a ratio less than 1.0:1, meaning the output shaft turns faster than the input. A 0.70:1 overdrive with a 3.73 axle gives a 2.61:1 final drive — much lower than the 3.73:1 in direct drive. This reduces RPM at highway speed for better fuel economy and lower noise.

        Can I calculate final drive ratio for an electric vehicle? ▼

        EVs typically have a single fixed-ratio reduction gear (usually 7:1 to 11:1) between the motor and wheels. This is their final drive ratio. There is no multi-speed transmission or transfer case. Calculate it simply as the single gear ratio, or divide motor RPM by wheel RPM at a known speed.

        How do I choose between a 3.73 and 4.10 axle for my final drive? ▼

        If your primary use is highway cruising and light towing, 3.73 provides a better balance of fuel economy and adequate torque. If you frequently tow heavy loads, run larger tires, or need strong acceleration, 4.10 delivers more torque at the cost of 200-300 higher RPM at cruise. Calculate both final drives in your most-used gear to compare.

        比率の理論を学ぶ

        比率とは具体的に何ですか?

        比率とは、2つ以上の数量の大きさを互いに比較して相対的な割合を表した数値です。記号では A : B のように表し、「Aの量に対してBの量が対応する」という相互関係を意味します。例えば、3 : 4 の比率は、Aが3つ分配されるときBは4つマッチするという正比例関係を持ちます。料理、工学設計、財務分析など日常のあらゆる場面で使われます。

        比例式はどのように解きますか?

        比例式は、2つの比率の値が等しいことを表す等式です(A : B = C : D)。外項の積(A × D)と内項 of 積(B × C)は常に等しくなります。未知数 D を求めるには、内項の積を求め、それをもう一方の外項 A で割ります: D = (B × C) / A。当ツールの比例式解決モードに既知の3つの数値を入力すれば、未知数を即座に算出できます。

        比率はどのように簡単に整理しますか?

        2つの数値の最大公約数(GCD)を求めた後、両方の数値をその最大公約数で割って約分します。例えば 24 : 36 の場合、24と36の最大公約数が 12 なので、両方を 12 で割ると最も簡単な自然数の比である 2 : 3 になります。比率計算ツールがGCDの算出と約分を自動的に処理します。

        比率のスケーリングはいつ使用しますか?

        比率の関係を崩さずに全体の分量を増やしたり減らしたりするときに使用します。例えば、2 : 5 の割合の材料があるとき、両方に 3 を掛ければ 6 : 15 になり、同じ比重を保ったまま3倍の量の配合物を準備することができます。パン生地の容量変更や、図面の縮尺変更に欠かせません。

        比率と分数の違いは何ですか?

        比率(A : B)は同等の要素同士の大きさの比較(部分対部分)に適しており、分数(A/B)は全体の中である要素が占める割合(部分対全体)を表現することが多いです。ただし、比率 3 : 4 も分数 3/4(小数で0.75)として表現できます。使われる文脈や意味合いにおいてニュアンスの違いがあります。