Question

Find the value of x.

$\frac{2}{5}=\frac{3x}{7}$

Short answer

The value of X is $\frac{14}{15}$.

Step-by-step solution

Step 1. Given information.

The ratio here given is,

$\frac{2}{5}=\frac{3x}{7}$

Step 2. Concept and Formula Used.

The properties of proportion,

if$\frac{a}{b}=\frac{c}{d}$ then$ad=bc$,

The given ratio is$\frac{2}{5}=\frac{3x}{7}$,

Step 3. Use the property of proportion, ifab=cd  then, ad=bc.

Then,

$14=15x$

Step 4. Divide both sides by 15.

$\begin{array}{l}\frac{15x}{15}=\frac{14}{15}\\ x=\frac{14}{15}\end{array}$

Therefore, the value of x is$\frac{14}{15}$ .