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Finding the Fourth Proportional to 6,487.62, 9,721.71 and 3,887.70

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Solution

The fourth proportional to 6,487.62, 9,721.71 and 3,887.70 is: 5,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.62 : 9,721.71 = 3,887.70 : x
  2. Step 2: Convert to fraction form
    6,487.62/9,721.71 = 3,887.70/x
  3. Step 3: Cross multiply
    6,487.62x = 9,721.71 × 3,887.70
  4. Step 4: Simplify right side
    6,487.62x = 37,795,091.97
  5. Step 5: Solve for x
    x = 37,795,091.97/6,487.62
  6. Step 6: Final answer
    x = 5,825.73

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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.