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Finding the Fourth Proportional to 20,656.90, 30,985.41 and 8,179.87

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Solution

The fourth proportional to 20,656.90, 30,985.41 and 8,179.87 is: 12,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656.90 : 30,985.41 = 8,179.87 : x
  2. Step 2: Convert to fraction form
    20,656.90/30,985.41 = 8,179.87/x
  3. Step 3: Cross multiply
    20,656.90x = 30,985.41 × 8,179.87
  4. Step 4: Simplify right side
    20,656.90x = 253,456,625.70
  5. Step 5: Solve for x
    x = 253,456,625.70/20,656.90
  6. Step 6: Final answer
    x = 12,269.83

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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.