Find the value of x in the following proportions : 2.5 : 1.5 = x : 3

Sum

2.5 : 1.5 = x : 3
⇒ 1.5 × x = 2.5 x 3
x = `(2.5 xx 3)/(1.5)`
= 5.0.

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Chapter 6: Ratio and Proportion - Exercise 7.2

Chapter 6 Ratio and Proportion
Exercise 7.2 | Q 1.3

If `a/b = c/d` prove that each of the given ratios is equal to

`(5a + 4c)/(5b + 4d)`

If `x = (sqrt(a + 3b) + sqrt(a - 3b))/(sqrt(a + 3b) - sqrt(a - 3b))`, prove that: 3bx² – 2ax + 3b = 0.

Find the fourth proportional to 2xy, x² and y².

Check whether the following numbers are in continued proportion.

1, 2, 3

Find the mean proportion of the following :

0.09 and 0.25

Find the smallest number that must be subtracted from each of the numbers 20, 29, 84 and 129 so that they are in proportion.

If a, b, c are in continued proportion and a(b – c) = 2b, prove that: `a - c = (2(a + b))/a`.

Determine if the following ratio form a proportion:

39 litres : 65 litres and 6 bottles : 10 bottles

If `a/c = c/d = c/f` prove that : `bd f[(a + b)/b + (c + d)/d + (c + f)/f]^3` = 27(a + b)(c + d)(e + f)

What is the term "d" called in the expression a : b :: c : d?