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Finding the Fourth Proportional to 8,781.70, 13,171.24 and 3,233.75

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Solution

The fourth proportional to 8,781.70, 13,171.24 and 3,233.75 is: 4,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.70 : 13,171.24 = 3,233.75 : x
  2. Step 2: Convert to fraction form
    8,781.70/13,171.24 = 3,233.75/x
  3. Step 3: Cross multiply
    8,781.70x = 13,171.24 × 3,233.75
  4. Step 4: Simplify right side
    8,781.70x = 42,592,497.35
  5. Step 5: Solve for x
    x = 42,592,497.35/8,781.70
  6. Step 6: Final answer
    x = 4,850.14

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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.