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Finding the Fourth Proportional to 8,469.90, 12,702.57 and 3,201.53

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Solution

The fourth proportional to 8,469.90, 12,702.57 and 3,201.53 is: 4,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.90 : 12,702.57 = 3,201.53 : x
  2. Step 2: Convert to fraction form
    8,469.90/12,702.57 = 3,201.53/x
  3. Step 3: Cross multiply
    8,469.90x = 12,702.57 × 3,201.53
  4. Step 4: Simplify right side
    8,469.90x = 40,667,595.42
  5. Step 5: Solve for x
    x = 40,667,595.42/8,469.90
  6. Step 6: Final answer
    x = 4,801.43

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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.