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Finding the Fourth Proportional to 28,517.72, 42,761.32 and 9,534

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Solution

The fourth proportional to 28,517.72, 42,761.32 and 9,534 is: 14,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,517.72 : 42,761.32 = 9,534 : x
  2. Step 2: Convert to fraction form
    28,517.72/42,761.32 = 9,534/x
  3. Step 3: Cross multiply
    28,517.72x = 42,761.32 × 9,534
  4. Step 4: Simplify right side
    28,517.72x = 407,686,424.88
  5. Step 5: Solve for x
    x = 407,686,424.88/28,517.72
  6. Step 6: Final answer
    x = 14,295.90

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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.