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Finding the Fourth Proportional to 8,971.97, 13,456.49 and 5,640.44

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Solution

The fourth proportional to 8,971.97, 13,456.49 and 5,640.44 is: 8,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.97 : 13,456.49 = 5,640.44 : x
  2. Step 2: Convert to fraction form
    8,971.97/13,456.49 = 5,640.44/x
  3. Step 3: Cross multiply
    8,971.97x = 13,456.49 × 5,640.44
  4. Step 4: Simplify right side
    8,971.97x = 75,900,428.97
  5. Step 5: Solve for x
    x = 75,900,428.97/8,971.97
  6. Step 6: Final answer
    x = 8,459.73

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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.