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Finding the Fourth Proportional to 27,879.80, 41,818.94 and 6,819.96

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Solution

The fourth proportional to 27,879.80, 41,818.94 and 6,819.96 is: 10,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.80 : 41,818.94 = 6,819.96 : x
  2. Step 2: Convert to fraction form
    27,879.80/41,818.94 = 6,819.96/x
  3. Step 3: Cross multiply
    27,879.80x = 41,818.94 × 6,819.96
  4. Step 4: Simplify right side
    27,879.80x = 285,203,498.04
  5. Step 5: Solve for x
    x = 285,203,498.04/27,879.80
  6. Step 6: Final answer
    x = 10,229.75

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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.