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Finding the Fourth Proportional to 12,121.75, 16,728.22 and 7,930

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Solution

The fourth proportional to 12,121.75, 16,728.22 and 7,930 is: 10,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.75 : 16,728.22 = 7,930 : x
  2. Step 2: Convert to fraction form
    12,121.75/16,728.22 = 7,930/x
  3. Step 3: Cross multiply
    12,121.75x = 16,728.22 × 7,930
  4. Step 4: Simplify right side
    12,121.75x = 132,654,764.78
  5. Step 5: Solve for x
    x = 132,654,764.78/12,121.75
  6. Step 6: Final answer
    x = 10,943.53

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1.5x scale

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.