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Finding the Fourth Proportional to 3,909.32, 5,863.77 and 987.46

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Solution

The fourth proportional to 3,909.32, 5,863.77 and 987.46 is: 1,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.32 : 5,863.77 = 987.46 : x
  2. Step 2: Convert to fraction form
    3,909.32/5,863.77 = 987.46/x
  3. Step 3: Cross multiply
    3,909.32x = 5,863.77 × 987.46
  4. Step 4: Simplify right side
    3,909.32x = 5,790,238.32
  5. Step 5: Solve for x
    x = 5,790,238.32/3,909.32
  6. Step 6: Final answer
    x = 1,481.14

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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.