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Finding the Fourth Proportional to 10,079.66, 15,121.70 and 3,839.70

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Solution

The fourth proportional to 10,079.66, 15,121.70 and 3,839.70 is: 5,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.66 : 15,121.70 = 3,839.70 : x
  2. Step 2: Convert to fraction form
    10,079.66/15,121.70 = 3,839.70/x
  3. Step 3: Cross multiply
    10,079.66x = 15,121.70 × 3,839.70
  4. Step 4: Simplify right side
    10,079.66x = 58,062,772.29
  5. Step 5: Solve for x
    x = 58,062,772.29/10,079.66
  6. Step 6: Final answer
    x = 5,760.39

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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.