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Calculateur de proportions

Solve proportions of the form A : B = C : D for any missing value, and simplify ratios to their lowest whole-number terms. Useful for scaling recipes, maps, images and mixtures.

Le guide ci-dessous n'est pas encore disponible en français et s'affiche en anglais. Le calculateur lui-même est entièrement traduit.

Comment utiliser ce calculateur

  1. Choose which term is unknown.
  2. Enter the other three values.
  3. The missing value, the simplified ratio A : B and its decimal value are shown.

Formule

In a proportion, the cross products are equal, so any one term can be found from the other three.

A : B = C : D  ⇔  A × D = B × C
D = B × C / A

Example

  1. 3 : 4 = 9 : D.
  2. D = 4 × 9 / 3 = 12.
  3. Resize a 1920 × 1080 image to 1280 wide: height = 1080 × 1280 / 1920 = 720.

Questions fréquentes

How do I simplify a ratio?

Divide both terms by their greatest common factor. 18 : 24 → GCF 6 → 3 : 4. Decimal ratios are first scaled to whole numbers.

What's the difference between a ratio and a fraction?

A fraction compares a part to a whole; a ratio can compare any two quantities, including part to part (e.g. 2 boys : 3 girls).

How do I scale a recipe?

Set A : B as the original servings to an ingredient amount, enter the new servings as C, and solve for D.