Advertisements
Advertisements
Question
Find the fourth proportional to:
2xy, x2, y2
Advertisements
Solution
Let A be the fourth proportional then
2xy : x2 = y2 : A
⇒ `(2xy)/x^2 = y^2/"A"`
⇒ A = `(x^2y^2)/(2xy)`
⇒ A = `(xy)/(2)`.
APPEARS IN
RELATED QUESTIONS
If three quantities are in continued proportion; show that the ratio of the first to the third is the duplicate ratio of the first to the second.
Find the mean proportional to (x – y) and (x3 – x2y).
What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?
If `a/b = c/d = r/f`, prove that `((a^2b^2 + c^2d^2 + e^2f^2)/(ab^3 + cd^3 + ef^3))^(3/2) = sqrt((ace)/(bdf)`
Determine if the following numbers are in proportion:
33, 121, 9, 96
In proportion, the 1st, 2nd, and 4th terms are 51, 68, and 108 respectively. Find the 3rd term.
The ratio of boys and girls in a school is 12 : 5. If the number of girls is 840, the total strength of the school is
A student said that the ratios `3/4` and `9/16` were proportional. What error did the student make?
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:
What is the term "d" called in the expression a : b :: c : d?
