Proportion Calculator

Solve A:B = C:D for the missing value using cross multiplication.

Enter your details and press Calculate to see results.

Formula

If A/B = C/D then D = (B × C) ÷ A

Example

2:3 = 8:? Cross-multiplying gives 2D = 24, so D = 12.

Cross multiplication in plain language

Two ratios are proportional when their cross products match: A × D equals B × C. Knowing three of the four values pins down the fourth — that is the entire trick, and it powers unit pricing, recipe scaling, map scales and currency conversion.

Frequently asked questions

Which field should I leave empty?

Leave blank whichever value you want to find — A, B, C or D. Fill in the other three.

Does this work for inverse proportions?

No. This solves direct proportions. Inverse relationships (more workers, less time) need the product form A×B = C×D instead.