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Finding the Fourth Proportional to 20,668.86, 30,972.80 and 12,226.64

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Solution

The fourth proportional to 20,668.86, 30,972.80 and 12,226.64 is: 18,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.86 : 30,972.80 = 12,226.64 : x
  2. Step 2: Convert to fraction form
    20,668.86/30,972.80 = 12,226.64/x
  3. Step 3: Cross multiply
    20,668.86x = 30,972.80 × 12,226.64
  4. Step 4: Simplify right side
    20,668.86x = 378,693,059.39
  5. Step 5: Solve for x
    x = 378,693,059.39/20,668.86
  6. Step 6: Final answer
    x = 18,321.91

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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.