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Finding the Fourth Proportional to 6,388.26, 9,591.30 and 5,072.82

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Solution

The fourth proportional to 6,388.26, 9,591.30 and 5,072.82 is: 7,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.26 : 9,591.30 = 5,072.82 : x
  2. Step 2: Convert to fraction form
    6,388.26/9,591.30 = 5,072.82/x
  3. Step 3: Cross multiply
    6,388.26x = 9,591.30 × 5,072.82
  4. Step 4: Simplify right side
    6,388.26x = 48,654,938.47
  5. Step 5: Solve for x
    x = 48,654,938.47/6,388.26
  6. Step 6: Final answer
    x = 7,616.31

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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.