find the fourth proportional to 25,15,40.
Answers
Step-by-step explanation:
let fourth proportion be 'x'
25 : 15 = 40 : x
product of means = product of extremes
15 × 40 = 25 × x
25x = 600
x = 600/25
x = 24
so the fourth proportion is 24
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Concept:
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc.
Given:
25,15,40.
Find:
Find the fourth proportional to 25,15,40.
Solution:
let fourth proportion be 'x'
25 : 15 = 40 : x
product of means = product of extremes
15 × 40 = 25 × x
25x = 600
x = 600/25
x = 24
Therefore, the fourth proportion is 24
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