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Finding the Fourth Proportional to 20,608, 28,439.20 and 12,231.68

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Solution

The fourth proportional to 20,608, 28,439.20 and 12,231.68 is: 16,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,608 : 28,439.20 = 12,231.68 : x
  2. Step 2: Convert to fraction form
    20,608/28,439.20 = 12,231.68/x
  3. Step 3: Cross multiply
    20,608x = 28,439.20 × 12,231.68
  4. Step 4: Simplify right side
    20,608x = 347,859,193.86
  5. Step 5: Solve for x
    x = 347,859,193.86/20,608
  6. Step 6: Final answer
    x = 16,879.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.