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Finding the Fourth Proportional to 62.50, 86.17 and 47.76

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Solution

The fourth proportional to 62.50, 86.17 and 47.76 is: 65.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.50 : 86.17 = 47.76 : x
  2. Step 2: Convert to fraction form
    62.50/86.17 = 47.76/x
  3. Step 3: Cross multiply
    62.50x = 86.17 × 47.76
  4. Step 4: Simplify right side
    62.50x = 4,115.24
  5. Step 5: Solve for x
    x = 4,115.24/62.50
  6. Step 6: Final answer
    x = 65.85

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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.