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Finding the Fourth Proportional to 28,337.54, 42,514.54 and 12,542

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Solution

The fourth proportional to 28,337.54, 42,514.54 and 12,542 is: 18,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,337.54 : 42,514.54 = 12,542 : x
  2. Step 2: Convert to fraction form
    28,337.54/42,514.54 = 12,542/x
  3. Step 3: Cross multiply
    28,337.54x = 42,514.54 × 12,542
  4. Step 4: Simplify right side
    28,337.54x = 533,217,360.68
  5. Step 5: Solve for x
    x = 533,217,360.68/28,337.54
  6. Step 6: Final answer
    x = 18,816.64

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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.