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Finding the Fourth Proportional to 6,614.70, 9,905.85 and 3,147.90

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Solution

The fourth proportional to 6,614.70, 9,905.85 and 3,147.90 is: 4,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.70 : 9,905.85 = 3,147.90 : x
  2. Step 2: Convert to fraction form
    6,614.70/9,905.85 = 3,147.90/x
  3. Step 3: Cross multiply
    6,614.70x = 9,905.85 × 3,147.90
  4. Step 4: Simplify right side
    6,614.70x = 31,182,625.22
  5. Step 5: Solve for x
    x = 31,182,625.22/6,614.70
  6. Step 6: Final answer
    x = 4,714.14

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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.