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Finding the Fourth Proportional to 27,825.71, 41,738.56 and 8,105.81

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Solution

The fourth proportional to 27,825.71, 41,738.56 and 8,105.81 is: 12,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.71 : 41,738.56 = 8,105.81 : x
  2. Step 2: Convert to fraction form
    27,825.71/41,738.56 = 8,105.81/x
  3. Step 3: Cross multiply
    27,825.71x = 41,738.56 × 8,105.81
  4. Step 4: Simplify right side
    27,825.71x = 338,324,608.08
  5. Step 5: Solve for x
    x = 338,324,608.08/27,825.71
  6. Step 6: Final answer
    x = 12,158.71

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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.