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Finding the Fourth Proportional to 3,909.85, 5,864.26 and 987.97

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Solution

The fourth proportional to 3,909.85, 5,864.26 and 987.97 is: 1,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.85 : 5,864.26 = 987.97 : x
  2. Step 2: Convert to fraction form
    3,909.85/5,864.26 = 987.97/x
  3. Step 3: Cross multiply
    3,909.85x = 5,864.26 × 987.97
  4. Step 4: Simplify right side
    3,909.85x = 5,793,712.95
  5. Step 5: Solve for x
    x = 5,793,712.95/3,909.85
  6. Step 6: Final answer
    x = 1,481.82

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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.