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Finding the Fourth Proportional to 6,499.28, 9,755 and 3,423.44

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Solution

The fourth proportional to 6,499.28, 9,755 and 3,423.44 is: 5,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.28 : 9,755 = 3,423.44 : x
  2. Step 2: Convert to fraction form
    6,499.28/9,755 = 3,423.44/x
  3. Step 3: Cross multiply
    6,499.28x = 9,755 × 3,423.44
  4. Step 4: Simplify right side
    6,499.28x = 33,395,657.20
  5. Step 5: Solve for x
    x = 33,395,657.20/6,499.28
  6. Step 6: Final answer
    x = 5,138.36

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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.