Finding the Fourth Proportional to 81.84, 122.62 and 63.84
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Solution
The fourth proportional to 81.84, 122.62 and 63.84 is: 95.65
Step by Step Solution
- Step 1: Write the proportion equation
81.84 : 122.62 = 63.84 : x - Step 2: Convert to fraction form
81.84/122.62 = 63.84/x - Step 3: Cross multiply
81.84x = 122.62 × 63.84 - Step 4: Simplify right side
81.84x = 7,828.06 - Step 5: Solve for x
x = 7,828.06/81.84 - Step 6: Final answer
x = 95.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.