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Finding the Fourth Proportional to 6,102.92, 8,422.50 and 3,450.38

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Solution

The fourth proportional to 6,102.92, 8,422.50 and 3,450.38 is: 4,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.92 : 8,422.50 = 3,450.38 : x
  2. Step 2: Convert to fraction form
    6,102.92/8,422.50 = 3,450.38/x
  3. Step 3: Cross multiply
    6,102.92x = 8,422.50 × 3,450.38
  4. Step 4: Simplify right side
    6,102.92x = 29,060,825.55
  5. Step 5: Solve for x
    x = 29,060,825.55/6,102.92
  6. Step 6: Final answer
    x = 4,761.79

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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.