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Finding the Fourth Proportional to 20,550.48, 30,826.86 and 10,029.48

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Solution

The fourth proportional to 20,550.48, 30,826.86 and 10,029.48 is: 15,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,550.48 : 30,826.86 = 10,029.48 : x
  2. Step 2: Convert to fraction form
    20,550.48/30,826.86 = 10,029.48/x
  3. Step 3: Cross multiply
    20,550.48x = 30,826.86 × 10,029.48
  4. Step 4: Simplify right side
    20,550.48x = 309,177,375.83
  5. Step 5: Solve for x
    x = 309,177,375.83/20,550.48
  6. Step 6: Final answer
    x = 15,044.78

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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.