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Finding the Fourth Proportional to 20,503.66, 30,765.22 and 12,200.08

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Solution

The fourth proportional to 20,503.66, 30,765.22 and 12,200.08 is: 18,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.66 : 30,765.22 = 12,200.08 : x
  2. Step 2: Convert to fraction form
    20,503.66/30,765.22 = 12,200.08/x
  3. Step 3: Cross multiply
    20,503.66x = 30,765.22 × 12,200.08
  4. Step 4: Simplify right side
    20,503.66x = 375,338,145.22
  5. Step 5: Solve for x
    x = 375,338,145.22/20,503.66
  6. Step 6: Final answer
    x = 18,305.91

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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.