Advertisements
Advertisements
Question
Find the fourth proportional to 3a, 6a2 and 2ab2
Solution
Let the fourth proportional to 3a, 6a2 and 2ab2 be x.
`\implies` 3a : 6a2 = 2ab2 : x
`\implies` 3a × x = 2ab2 × 6a2
`\implies` 3a × x = 12a3b2
`\implies` x = 4a2b2
APPEARS IN
RELATED QUESTIONS
If q is the mean proportional between p and r, show that: pqr(p + q + r)3 = (pq + qr + rp)3.
If `x/a = y/b = z/c` prove that `(2x^3 - 3y^3 + 4z^3)/(2a^3 - 3b^3 + 4c^3) = ((2x - 3y + 4z)/(2a - 3b + 4c))^3`
What least number must be added to each of the numbers 16, 7, 79 and 43 so that the resulting
numbers are in proportion?
Find the value of x in each of the following proportions:
x : 92 : : 87 : 116
If a, b, c and d are in proportion, prove that: `abcd [(1/a^2 + 1/b^2 + 1/c^2 + 1/d^2]` = a2 + b2 + c2 + d2
10 books is to 15 books as 3 books is to 15 books
The quarterly school fee in Kendriya Vidyalaya for Class VI is Rs. 540. What will be the fee for seven months?
Determine if the following are in proportion.
15, 45, 40, 120
Write True (T) or False (F) against the following statement:
8 : 9 : : 24 : 27
The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.
x | A | 24 | 15 |
y | 12 | B | 20 |
The values of A and B are: