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Finding the Fourth Proportional to 8,749.62, 13,109.82 and 6,147.90

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Solution

The fourth proportional to 8,749.62, 13,109.82 and 6,147.90 is: 9,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.62 : 13,109.82 = 6,147.90 : x
  2. Step 2: Convert to fraction form
    8,749.62/13,109.82 = 6,147.90/x
  3. Step 3: Cross multiply
    8,749.62x = 13,109.82 × 6,147.90
  4. Step 4: Simplify right side
    8,749.62x = 80,597,862.38
  5. Step 5: Solve for x
    x = 80,597,862.38/8,749.62
  6. Step 6: Final answer
    x = 9,211.58

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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.