Proportion Calculator

Formula

The formula to calculate the missing value of a proportion is:

\[ X = \frac{Z}{W} \times Y \]

Where:

X is the missing value
\(\frac{Z}{W}\) is the first proportion
Y is the denominator of the second proportion

Proportion Definition

In simple terms, a proportion is a relationship between two different quantities. These quantities are typically represented as two different ratios. These ratios comprise a numerator (top number) and a denominator (bottom number). This term is typically referred to as a fraction.

Example Calculation

Example 1:

Numerator of First Proportion (Z): 4
Denominator of First Proportion (W): 2
Denominator of Second Proportion (Y): 6

Step 1: Calculate the first proportion:

\[ \frac{Z}{W} = \frac{4}{2} = 2 \]

Step 2: Calculate the missing value:

\[ X = 2 \times 6 = 12 \]

Example 2:

Numerator of First Proportion (Z): 5
Denominator of First Proportion (W): 3
Denominator of Second Proportion (Y): 9

Step 1: Calculate the first proportion:

\[ \frac{Z}{W} = \frac{5}{3} \approx 1.6667 \]

Step 2: Calculate the missing value:

\[ X = 1.6667 \times 9 \approx 15 \]