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Finding the Fourth Proportional to 20,650.67, 30,965.03 and 8,170.19

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Solution

The fourth proportional to 20,650.67, 30,965.03 and 8,170.19 is: 12,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.67 : 30,965.03 = 8,170.19 : x
  2. Step 2: Convert to fraction form
    20,650.67/30,965.03 = 8,170.19/x
  3. Step 3: Cross multiply
    20,650.67x = 30,965.03 × 8,170.19
  4. Step 4: Simplify right side
    20,650.67x = 252,990,137.60
  5. Step 5: Solve for x
    x = 252,990,137.60/20,650.67
  6. Step 6: Final answer
    x = 12,250.94

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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.