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Finding the Fourth Proportional to 8,442.54, 12,662.73 and 3,249.90

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Solution

The fourth proportional to 8,442.54, 12,662.73 and 3,249.90 is: 4,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.54 : 12,662.73 = 3,249.90 : x
  2. Step 2: Convert to fraction form
    8,442.54/12,662.73 = 3,249.90/x
  3. Step 3: Cross multiply
    8,442.54x = 12,662.73 × 3,249.90
  4. Step 4: Simplify right side
    8,442.54x = 41,152,606.23
  5. Step 5: Solve for x
    x = 41,152,606.23/8,442.54
  6. Step 6: Final answer
    x = 4,874.43

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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.