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Finding the Fourth Proportional to 13,517.28, 18,654 and 7,549.20

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Solution

The fourth proportional to 13,517.28, 18,654 and 7,549.20 is: 10,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.28 : 18,654 = 7,549.20 : x
  2. Step 2: Convert to fraction form
    13,517.28/18,654 = 7,549.20/x
  3. Step 3: Cross multiply
    13,517.28x = 18,654 × 7,549.20
  4. Step 4: Simplify right side
    13,517.28x = 140,822,776.80
  5. Step 5: Solve for x
    x = 140,822,776.80/13,517.28
  6. Step 6: Final answer
    x = 10,417.98

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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.