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Finding the Fourth Proportional to 12,034.40, 16,608 and 6,729.20

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Solution

The fourth proportional to 12,034.40, 16,608 and 6,729.20 is: 9,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.40 : 16,608 = 6,729.20 : x
  2. Step 2: Convert to fraction form
    12,034.40/16,608 = 6,729.20/x
  3. Step 3: Cross multiply
    12,034.40x = 16,608 × 6,729.20
  4. Step 4: Simplify right side
    12,034.40x = 111,758,553.60
  5. Step 5: Solve for x
    x = 111,758,553.60/12,034.40
  6. Step 6: Final answer
    x = 9,286.59

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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.