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Finding the Fourth Proportional to 8,542.87, 12,814.23 and 2,699.48

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Solution

The fourth proportional to 8,542.87, 12,814.23 and 2,699.48 is: 4,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.87 : 12,814.23 = 2,699.48 : x
  2. Step 2: Convert to fraction form
    8,542.87/12,814.23 = 2,699.48/x
  3. Step 3: Cross multiply
    8,542.87x = 12,814.23 × 2,699.48
  4. Step 4: Simplify right side
    8,542.87x = 34,591,744.10
  5. Step 5: Solve for x
    x = 34,591,744.10/8,542.87
  6. Step 6: Final answer
    x = 4,049.19

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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.