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Finding the Fourth Proportional to 20,754.90, 31,129 and 5,960.45

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Solution

The fourth proportional to 20,754.90, 31,129 and 5,960.45 is: 8,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.90 : 31,129 = 5,960.45 : x
  2. Step 2: Convert to fraction form
    20,754.90/31,129 = 5,960.45/x
  3. Step 3: Cross multiply
    20,754.90x = 31,129 × 5,960.45
  4. Step 4: Simplify right side
    20,754.90x = 185,542,848.05
  5. Step 5: Solve for x
    x = 185,542,848.05/20,754.90
  6. Step 6: Final answer
    x = 8,939.71

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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.