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Finding the Fourth Proportional to 7,761.13, 11,641.92 and 2,834.44

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Solution

The fourth proportional to 7,761.13, 11,641.92 and 2,834.44 is: 4,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.13 : 11,641.92 = 2,834.44 : x
  2. Step 2: Convert to fraction form
    7,761.13/11,641.92 = 2,834.44/x
  3. Step 3: Cross multiply
    7,761.13x = 11,641.92 × 2,834.44
  4. Step 4: Simplify right side
    7,761.13x = 32,998,323.72
  5. Step 5: Solve for x
    x = 32,998,323.72/7,761.13
  6. Step 6: Final answer
    x = 4,251.74

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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.