Question

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

$1.2,2.7,0.7,0.9$

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 $1.2,2.7,0.7,0.9$

Find the ratio of first and second number

$=\frac{1.2}{2.7}$

$=\frac{12}{27},$divide numerator and denominator by $3$

$=\frac{4}{9}$

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

$=\frac{0.7}{0.9}$

$=\frac{7}{9},$remove the decimal point

therefore the ratio of first term to second term is not equal to the ratio of third term to fourth term

$\frac{1.2}{2.7}$$\ne \frac{7}{9}$

Hence, the given four numbers $1.2,2.7,0.7,0.9$ are not in proportion.