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Finding the Fourth Proportional to 13,542, 20,313 and 8,891.52

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Solution

The fourth proportional to 13,542, 20,313 and 8,891.52 is: 13,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542 : 20,313 = 8,891.52 : x
  2. Step 2: Convert to fraction form
    13,542/20,313 = 8,891.52/x
  3. Step 3: Cross multiply
    13,542x = 20,313 × 8,891.52
  4. Step 4: Simplify right side
    13,542x = 180,613,445.76
  5. Step 5: Solve for x
    x = 180,613,445.76/13,542
  6. Step 6: Final answer
    x = 13,337.28

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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.