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Finding the Fourth Proportional to 8,902.40, 13,364.40 and 4,517.60

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Solution

The fourth proportional to 8,902.40, 13,364.40 and 4,517.60 is: 6,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.40 : 13,364.40 = 4,517.60 : x
  2. Step 2: Convert to fraction form
    8,902.40/13,364.40 = 4,517.60/x
  3. Step 3: Cross multiply
    8,902.40x = 13,364.40 × 4,517.60
  4. Step 4: Simplify right side
    8,902.40x = 60,375,013.44
  5. Step 5: Solve for x
    x = 60,375,013.44/8,902.40
  6. Step 6: Final answer
    x = 6,781.88

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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.