Question

Use equivalent ratios to solve the proportion.

$\frac{2}{7}=\frac{x}{21}$

Short answer

The solution is x = 6.

Step-by-step solution

Step-1 – Given

The given proportion is $\frac{2}{7}=\frac{x}{21}$.

Step-2 – To determine

We have to solve the proportion by using equivalent ratios.

Step-3 – Calculation 

Solve the given equation.

$\begin{array}{c}\frac{2}{7}=\frac{x}{21}\\ \frac{2}{7\times 3}=\frac{x}{21}\left[\text{comparedenominators}\right]\\ \frac{2\times 3}{21}=\frac{x}{21}\left[\text{find}x\right]\\ x=2\times 3\\ x=6\end{array}$

So, the solution is x = 6.