Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{3}{8}=\frac{b}{10}$

Short answer

The value of $b=\text{3.75}$.

Step-by-step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c}\frac{3}{8}=\frac{b}{10}\\ 10\left(3\right)=\left(b\right)8\end{array}$

Step-3. Simplify for b.

To further simplify, divide each side by 8.

$$\begin{gathered} 10\left(3\right)=\left(b\right)8 \\ 30=8b \\ \frac{30}{8}=\frac{8b}{8} \\ \text{3.75}=b \end{gathered}$$

Therefore, the value of $b=\text{3.75}$.