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Finding the Fourth Proportional to 34,781.80, 52,160.31 and 12,589.42

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Solution

The fourth proportional to 34,781.80, 52,160.31 and 12,589.42 is: 18,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,781.80 : 52,160.31 = 12,589.42 : x
  2. Step 2: Convert to fraction form
    34,781.80/52,160.31 = 12,589.42/x
  3. Step 3: Cross multiply
    34,781.80x = 52,160.31 × 12,589.42
  4. Step 4: Simplify right side
    34,781.80x = 656,668,049.92
  5. Step 5: Solve for x
    x = 656,668,049.92/34,781.80
  6. Step 6: Final answer
    x = 18,879.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.