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Finding the Fourth Proportional to 12,042.39, 16,618.54 and 6,737.21

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Solution

The fourth proportional to 12,042.39, 16,618.54 and 6,737.21 is: 9,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.39 : 16,618.54 = 6,737.21 : x
  2. Step 2: Convert to fraction form
    12,042.39/16,618.54 = 6,737.21/x
  3. Step 3: Cross multiply
    12,042.39x = 16,618.54 × 6,737.21
  4. Step 4: Simplify right side
    12,042.39x = 111,962,593.87
  5. Step 5: Solve for x
    x = 111,962,593.87/12,042.39
  6. Step 6: Final answer
    x = 9,297.37

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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.