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Finding the Fourth Proportional to 20,658.44, 30,976.66 and 8,177.96

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Solution

The fourth proportional to 20,658.44, 30,976.66 and 8,177.96 is: 12,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.44 : 30,976.66 = 8,177.96 : x
  2. Step 2: Convert to fraction form
    20,658.44/30,976.66 = 8,177.96/x
  3. Step 3: Cross multiply
    20,658.44x = 30,976.66 × 8,177.96
  4. Step 4: Simplify right side
    20,658.44x = 253,325,886.41
  5. Step 5: Solve for x
    x = 253,325,886.41/20,658.44
  6. Step 6: Final answer
    x = 12,262.59

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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.