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Finding the Fourth Proportional to 33,280, 49,921.62 and 9,906.64

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Solution

The fourth proportional to 33,280, 49,921.62 and 9,906.64 is: 14,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,280 : 49,921.62 = 9,906.64 : x
  2. Step 2: Convert to fraction form
    33,280/49,921.62 = 9,906.64/x
  3. Step 3: Cross multiply
    33,280x = 49,921.62 × 9,906.64
  4. Step 4: Simplify right side
    33,280x = 494,555,517.56
  5. Step 5: Solve for x
    x = 494,555,517.56/33,280
  6. Step 6: Final answer
    x = 14,860.44

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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.