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Finding the Fourth Proportional to 27,279, 40,924.98 and 8,811

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Solution

The fourth proportional to 27,279, 40,924.98 and 8,811 is: 13,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,279 : 40,924.98 = 8,811 : x
  2. Step 2: Convert to fraction form
    27,279/40,924.98 = 8,811/x
  3. Step 3: Cross multiply
    27,279x = 40,924.98 × 8,811
  4. Step 4: Simplify right side
    27,279x = 360,589,998.78
  5. Step 5: Solve for x
    x = 360,589,998.78/27,279
  6. Step 6: Final answer
    x = 13,218.59

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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.