Advertisements
Advertisements
Question
Write the mean and extreme terms in the following ratios and check whether they are in proportion.
78 litre is to 130 litre and 12 bottles is to 20 bottles
Solution
78 : 130, 12 : 20
Product of the means = 78 × 20
= 1560
Product of the extremes = 130 × 12
= 1560
a × d = b × c
∴ They are in proportion
APPEARS IN
RELATED QUESTIONS
Using the properties of proportion, solve for x, given `(x^4 + 1)/(2x^2) = 17/8`.
What least number must be subtracted from each of the numbers 7, 17 and 47 so that the remainders are in continued proportion?
Given four quantities a, b, c and d are in proportion. Show that: (a – c)b2 : (b – d)cd = (a2 – b2 – ab) : (c2 – d2 – cd)
Find two numbers such that the mean proportional between them is 14 and third proportional to them is 112.
Check whether the following numbers are in continued proportion.
9, 12, 16
Find the fourth proportion to the following:
3,5 and 15
If `1/12` , x and `1/75` are in continued proportion , find x.
If 4 : 5 : : x : 35, then the value of x is
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)
12 : `square` = `square` : 4 = 8 : 16
