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Finding the Fourth Proportional to 6,729.76, 9,287.22 and 3,745.90

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Solution

The fourth proportional to 6,729.76, 9,287.22 and 3,745.90 is: 5,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.76 : 9,287.22 = 3,745.90 : x
  2. Step 2: Convert to fraction form
    6,729.76/9,287.22 = 3,745.90/x
  3. Step 3: Cross multiply
    6,729.76x = 9,287.22 × 3,745.90
  4. Step 4: Simplify right side
    6,729.76x = 34,788,997.40
  5. Step 5: Solve for x
    x = 34,788,997.40/6,729.76
  6. Step 6: Final answer
    x = 5,169.43

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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.