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Finding the Fourth Proportional to 8,442.92, 12,664.38 and 2,202.92

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Solution

The fourth proportional to 8,442.92, 12,664.38 and 2,202.92 is: 3,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.92 : 12,664.38 = 2,202.92 : x
  2. Step 2: Convert to fraction form
    8,442.92/12,664.38 = 2,202.92/x
  3. Step 3: Cross multiply
    8,442.92x = 12,664.38 × 2,202.92
  4. Step 4: Simplify right side
    8,442.92x = 27,898,647.65
  5. Step 5: Solve for x
    x = 27,898,647.65/8,442.92
  6. Step 6: Final answer
    x = 3,304.39

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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.