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Finding the Fourth Proportional to 10,985.52, 16,481.64 and 3,488.64

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Solution

The fourth proportional to 10,985.52, 16,481.64 and 3,488.64 is: 5,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.52 : 16,481.64 = 3,488.64 : x
  2. Step 2: Convert to fraction form
    10,985.52/16,481.64 = 3,488.64/x
  3. Step 3: Cross multiply
    10,985.52x = 16,481.64 × 3,488.64
  4. Step 4: Simplify right side
    10,985.52x = 57,498,508.57
  5. Step 5: Solve for x
    x = 57,498,508.57/10,985.52
  6. Step 6: Final answer
    x = 5,234.03

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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.