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Finding the Fourth Proportional to 11,330, 16,990.88 and 3,932.48

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Solution

The fourth proportional to 11,330, 16,990.88 and 3,932.48 is: 5,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330 : 16,990.88 = 3,932.48 : x
  2. Step 2: Convert to fraction form
    11,330/16,990.88 = 3,932.48/x
  3. Step 3: Cross multiply
    11,330x = 16,990.88 × 3,932.48
  4. Step 4: Simplify right side
    11,330x = 66,816,295.78
  5. Step 5: Solve for x
    x = 66,816,295.78/11,330
  6. Step 6: Final answer
    x = 5,897.29

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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.