Find which of the are in proportion :
`12,16,2, 8`

Answer

To determine whether the numbers 12, 16, 2, and 8 are in proportion, we will follow these steps:

### Step-by-Step Solution:

1. **Understanding Proportion**:
For four numbers \( a, b, c, d \) to be in proportion, the following condition must hold:
\[ \frac{a}{b} = \frac{c}{d} \]
This can also be expressed using cross-multiplication:
\[ a \times d = b \times c \]

2. **Assign Values**:
We assign the values as follows:
- \( a = 12 \)
- \( b = 16 \)
- \( c = 2 \)
- \( d = 8 \)

3. **Calculate \( a \times d \)**:
Now we calculate \( a \times d \):
\[ a \times d = 12 \times 8 = 96 \]

4. **Calculate \( b \times c \)**:
Next, we calculate \( b \times c \):
\[ b \times c = 16 \times 2 = 32 \]

5. **Compare the Results**:
Now we compare the two results:
\[ 96 \quad \text{and} \quad 32 \]
Since \( 96 \neq 32 \), the two products are not equal.

6. **Conclusion**:
Since \( a \times d \) is not equal to \( b \times c \), we conclude that the numbers 12, 16, 2, and 8 are **not in proportion**.

### Final Answer:
The numbers 12, 16, 2, and 8 are not in proportion.

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