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Finding the Fourth Proportional to 3,909.08, 5,863.64 and 987.41

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Solution

The fourth proportional to 3,909.08, 5,863.64 and 987.41 is: 1,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.08 : 5,863.64 = 987.41 : x
  2. Step 2: Convert to fraction form
    3,909.08/5,863.64 = 987.41/x
  3. Step 3: Cross multiply
    3,909.08x = 5,863.64 × 987.41
  4. Step 4: Simplify right side
    3,909.08x = 5,789,782.52
  5. Step 5: Solve for x
    x = 5,789,782.52/3,909.08
  6. Step 6: Final answer
    x = 1,481.11

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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.