Question

1. Determine if the following numbers are in proportion
i. 5, 25,30,150​

Answer 1

yes the numbers are in proportion

a group of numbers is said to be in proportion if the product of their extremes is equal to product of there means

5:25:30:150

extremes =5 and 150

product of extremes =150 ×5=750

means=25&30

product of means= 25×30=750

so we conclude that 750=750

product of extremes =product of means

Answer 2

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Determine the following numbers are in proportion:-

What is proportion?

• Proportion is an assertion when two Ratio's are equal

• Such as :- $\frac{a}{b} = \frac{c}{d} \ using \ sign = a :b : : c : d$

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5 : 25 : : 30 : 150​

$\frac{5}{25} = \frac{30}{150}$

$\frac{5}{25} \div \frac{5}{5} = \frac{1}{5} \\\\\frac{30}{150} \div \frac{5}{5} = \frac{6}{30} \div \frac{6}{6} = \frac{1}{5}$

$\frac{1}{5} = \frac{1}{5}$

Hence, proved that the numbers are in Proportion

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