Determine if the following are in proportion.
24, 28, 36, 48

Answer

To determine if the numbers 24, 28, 36, and 48 are in proportion, we will follow these steps:

### Step 1: Identify the numbers
We have four numbers:
- A = 24
- B = 28
- C = 36
- D = 48

### Step 2: Set up the proportion
To check if these numbers are in proportion, we need to compare the ratios of the first pair (A and B) and the second pair (C and D). We will set up the following fractions:
- Ratio 1: \( \frac{A}{B} = \frac{24}{28} \)
- Ratio 2: \( \frac{C}{D} = \frac{36}{48} \)

### Step 3: Simplify the ratios
Now, we will simplify both ratios.

**For Ratio 1:**
- \( \frac{24}{28} \)
- Both numbers can be divided by 4:
- \( 24 \div 4 = 6 \)
- \( 28 \div 4 = 7 \)
- So, \( \frac{24}{28} = \frac{6}{7} \)

**For Ratio 2:**
- \( \frac{36}{48} \)
- Both numbers can be divided by 12:
- \( 36 \div 12 = 3 \)
- \( 48 \div 12 = 4 \)
- So, \( \frac{36}{48} = \frac{3}{4} \)

### Step 4: Compare the simplified ratios
Now we compare the two simplified ratios:
- Ratio 1: \( \frac{6}{7} \)
- Ratio 2: \( \frac{3}{4} \)

### Step 5: Conclusion
Since \( \frac{6}{7} \) is not equal to \( \frac{3}{4} \), we conclude that the numbers are not in proportion.

### Final Answer
No, the numbers 24, 28, 36, and 48 are not in proportion.

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