Advertisements
Advertisements
Question
A student said that the ratios `3/4` and `9/16` were proportional. What error did the student make?
Advertisements
Solution
Two ratios a : b and c : d are said to be proportional
if `a/b = c/d` or ad = bc.
But the given ratios `3/4` and `9/16, 3 × 6 ≠ 4 × 9`
Hence, the ratios are not proportional. To make a ratio proportional to another ratio, we just simply multiply both numerator and denominator by the same number.
Here, the student had multiply numerator by 3 and denominator by 4, which is incorrect.
APPEARS IN
RELATED QUESTIONS
Find the third proportional to a – b and a2 – b2
Find the value of the unknown in the following proportion :
`1/2 : "m" :: 14/9 : 4/3`
Find the mean proportion of the following :
0.09 and 0.25
Find the third proportional to `5(1)/(4) and 7.`
If 48 boxes contain 6000 pens, how many such boxes will be needed for 1875 pens?
The ratio 92 : 115 in its simplest for is
If b is the mean proportional between a and c, prove that (ab + bc) is the mean proportional between (a² + b²) and (b² + c²).
If `x/a = y/b = z/c`, prove that `[(a^2x^2 + b^2y^2 + c^2z^2)/(a^2x + b^3y +c^3z)]^3 = "xyz"/"abc"`
3 : 5 : : `square` : 20
If `(a + b)^3/(a - b)^3 = 64/27`
- Find `(a + b)/(a - b)`
- Hence using properties of proportion, find a : b.
