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Finding the Fourth Proportional to 20,620.20, 30,916.80 and 8,132.70

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Solution

The fourth proportional to 20,620.20, 30,916.80 and 8,132.70 is: 12,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,620.20 : 30,916.80 = 8,132.70 : x
  2. Step 2: Convert to fraction form
    20,620.20/30,916.80 = 8,132.70/x
  3. Step 3: Cross multiply
    20,620.20x = 30,916.80 × 8,132.70
  4. Step 4: Simplify right side
    20,620.20x = 251,437,059.36
  5. Step 5: Solve for x
    x = 251,437,059.36/20,620.20
  6. Step 6: Final answer
    x = 12,193.73

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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.