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Finding the Fourth Proportional to 13,345.92, 20,018.85 and 12,534

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Solution

The fourth proportional to 13,345.92, 20,018.85 and 12,534 is: 18,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,345.92 : 20,018.85 = 12,534 : x
  2. Step 2: Convert to fraction form
    13,345.92/20,018.85 = 12,534/x
  3. Step 3: Cross multiply
    13,345.92x = 20,018.85 × 12,534
  4. Step 4: Simplify right side
    13,345.92x = 250,916,265.90
  5. Step 5: Solve for x
    x = 250,916,265.90/13,345.92
  6. Step 6: Final answer
    x = 18,800.97

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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.