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Finding the Fourth Proportional to 27,842.42, 41,755.42 and 8,115.68

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Solution

The fourth proportional to 27,842.42, 41,755.42 and 8,115.68 is: 12,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.42 : 41,755.42 = 8,115.68 : x
  2. Step 2: Convert to fraction form
    27,842.42/41,755.42 = 8,115.68/x
  3. Step 3: Cross multiply
    27,842.42x = 41,755.42 × 8,115.68
  4. Step 4: Simplify right side
    27,842.42x = 338,873,626.99
  5. Step 5: Solve for x
    x = 338,873,626.99/27,842.42
  6. Step 6: Final answer
    x = 12,171.13

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1.5x scale

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.