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Finding the Fourth Proportional to 3,854.98, 5,781.25 and 2,469.88

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Solution

The fourth proportional to 3,854.98, 5,781.25 and 2,469.88 is: 3,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.98 : 5,781.25 = 2,469.88 : x
  2. Step 2: Convert to fraction form
    3,854.98/5,781.25 = 2,469.88/x
  3. Step 3: Cross multiply
    3,854.98x = 5,781.25 × 2,469.88
  4. Step 4: Simplify right side
    3,854.98x = 14,278,993.75
  5. Step 5: Solve for x
    x = 14,278,993.75/3,854.98
  6. Step 6: Final answer
    x = 3,704.04

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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.