Question

Use equivalent ratios to solve the proportion.

$\frac{a}{3}=\frac{14}{21}$

Short answer

The solution of proportion $\frac{a}{3}=\frac{14}{21}$is $a=2$.

Step-by-step solution

Step 1. Given Information.

The proportion is $\frac{a}{3}=\frac{14}{21}$.

Step 2. Calculation.

Therefore, the proportion is

$\begin{array}{c}\frac{a}{3}=\frac{14}{21}\\ 21\cdot a=14\cdot 3\left[\text{crossproduct}\right]\\ 21a=42\left[\text{multiply}\right]\\ a=\frac{42}{21}\left[\text{crossproduct}\right]\\ a=2\left[\text{divide}\right]\end{array}$

Step 3. Conclusion.

The solution of proportion $\frac{a}{3}=\frac{14}{21}$is $a=2$.