Finding the Fourth Proportional to 9.46, 13.05 and 6
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Solution
The fourth proportional to 9.46, 13.05 and 6 is: 8.28
Step by Step Solution
- Step 1: Write the proportion equation
9.46 : 13.05 = 6 : x - Step 2: Convert to fraction form
9.46/13.05 = 6/x - Step 3: Cross multiply
9.46x = 13.05 × 6 - Step 4: Simplify right side
9.46x = 78.27 - Step 5: Solve for x
x = 78.27/9.46 - Step 6: Final answer
x = 8.28
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.