Proportion Calculator

Enter any 3 values to solve for the unknown variable using algebraic cross-multiplication.

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Solved Equation
3 : 4 = 6 : 8
Step-by-Step Algebraic Proof:
  1. State the proportion formula: A / B = C / D → A × D = B × C.
  2. Substitute known values: 3 × D = 4 × 6.
  3. Calculate cross product: 3 × D = 24.
  4. Divide both sides by 3: D = 24 ÷ 3 = 8.

How the Cross-Multiplication Method Works

Cross-multiplication is an algebraic technique used to solve proportion equations. When two fractions or ratios are equal, their cross products are also strictly equal.

Solving for D:

D = (B × C) ÷ A

Solving for C:

C = (A × D) ÷ B
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Reviewed for accuracy: October 2026 by Ratio Calculator Mathematical Review Team • Topic: Proportion Equation Solving