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Finding the Fourth Proportional to 8,542.38, 12,814.78 and 4,156.22

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Solution

The fourth proportional to 8,542.38, 12,814.78 and 4,156.22 is: 6,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.38 : 12,814.78 = 4,156.22 : x
  2. Step 2: Convert to fraction form
    8,542.38/12,814.78 = 4,156.22/x
  3. Step 3: Cross multiply
    8,542.38x = 12,814.78 × 4,156.22
  4. Step 4: Simplify right side
    8,542.38x = 53,261,044.93
  5. Step 5: Solve for x
    x = 53,261,044.93/8,542.38
  6. Step 6: Final answer
    x = 6,234.92

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1.5x scale

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.