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Finding the Fourth Proportional to 6,625, 9,142.17 and 3,971.89

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Solution

The fourth proportional to 6,625, 9,142.17 and 3,971.89 is: 5,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625 : 9,142.17 = 3,971.89 : x
  2. Step 2: Convert to fraction form
    6,625/9,142.17 = 3,971.89/x
  3. Step 3: Cross multiply
    6,625x = 9,142.17 × 3,971.89
  4. Step 4: Simplify right side
    6,625x = 36,311,693.60
  5. Step 5: Solve for x
    x = 36,311,693.60/6,625
  6. Step 6: Final answer
    x = 5,481.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.