Question

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

$\frac{3}{8}=\frac{21}{t}$

Short answer

The solution of the proportion is $t=56$.

Step-by-step solution

Step 1. Given information.

We have a proportion is$\frac{3}{8}=\frac{21}{t}$.

To find the solution of the given proportion and then round it to the nearest hundredth.

Step 2. Apply concept.

We apply the cross-product concept and solve the given proportion.

As$\frac{x}{y}=\frac{4}{5}\Rightarrow 5x=4y$

Step 3. Calculation.

Solving the given proportion using the above rule.

$\begin{array}{l}\frac{3}{8}=\frac{21}{t}\\ \Rightarrow 3t=8\times 21\\ \Rightarrow t=\frac{8\times 21}{3}\\ \Rightarrow t=8\left(7\right)\\ \Rightarrow t=56\end{array}$

Therefore, the solution of the proportion is $t=56$.