Math Problem Statement

Find the number that makes the ratio equivalent to 1:4, where the second number is 28.

Solution

The problem asks to find a number that makes the ratio equivalent to 1:4, with the format ?:28\text{?}:28.

Solution:

We are given the equivalent ratio 1:41:4 and asked to find the unknown number in the ratio ?:28\text{?}:28.

The ratio 1:41:4 means that for every 1 unit in the first part, there are 4 units in the second part. This ratio can be expressed as:

14=x28\frac{1}{4} = \frac{x}{28}

To find xx, we can use cross-multiplication:

1×28=4×x1 \times 28 = 4 \times x

28=4x28 = 4x

Now, solve for xx:

x=284=7x = \frac{28}{4} = 7

Thus, the number is 7. The equivalent ratio is 7:28.


Would you like more details, or have any further questions?

Here are 5 related questions for practice:

  1. What is the equivalent ratio of 2:52:5 when the second term is 20?
  2. Find the missing number in the ratio 3:?=6:183:? = 6:18.
  3. If the ratio of 5:95:9 is scaled up by 3, what is the new ratio?
  4. How do you simplify the ratio 14:4214:42?
  5. What is the relationship between proportions and ratios?

Tip: When working with ratios, cross-multiplication is a quick way to solve for unknowns when you have equivalent ratios.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Cross Multiplication

Formulas

Equivalent Ratio: a:b = c:d
Cross Multiplication: a*d = b*c

Theorems

Proportionality Theorem

Suitable Grade Level

Grades 5-7