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Finding the Fourth Proportional to 31,390.88, 47,079.89 and 9,198.28

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Solution

The fourth proportional to 31,390.88, 47,079.89 and 9,198.28 is: 13,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.88 : 47,079.89 = 9,198.28 : x
  2. Step 2: Convert to fraction form
    31,390.88/47,079.89 = 9,198.28/x
  3. Step 3: Cross multiply
    31,390.88x = 47,079.89 × 9,198.28
  4. Step 4: Simplify right side
    31,390.88x = 433,053,729.20
  5. Step 5: Solve for x
    x = 433,053,729.20/31,390.88
  6. Step 6: Final answer
    x = 13,795.53

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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.