Question

Determine whether the following numbers are in proportion or not$:$

$18,24,9,12$

Answer 1

Step $1:$ To check whether the given numbers are in proportion or not

As we know that any four numbers $a,b,c$ and $d$ are saif to be in proportion if and only if

$\frac{a}{b}=\frac{c}{d}$

Step $2:$ Given four numbers are $18,24,9,12$

Find the ratio of first and second number

$=\frac{18}{24}$$,$divide the numerator and denominator by $6$

$=\frac{{\displaystyle \frac{18}{6}}}{{\displaystyle \frac{24}{6}}}$

$=\frac{3}{4}$

Step $3:$Now find the ratio of third and fourth number

$=\frac{9}{12}$$,$divide the numerator and denominator by $3$

$=\frac{{\displaystyle \frac{9}{3}}}{{\displaystyle \frac{12}{3}}}$

$=\frac{3}{4}$

therefore the ratio of the first term to second term is equal to the ratio of third term to fourth term

$\frac{18}{24}$$=\frac{9}{12}$

Hence, the given four numbers $18,24,9,12$ are in proportion.