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Finding the Fourth Proportional to 27,843.40, 41,767.18 and 8,122.12

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Solution

The fourth proportional to 27,843.40, 41,767.18 and 8,122.12 is: 12,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.40 : 41,767.18 = 8,122.12 : x
  2. Step 2: Convert to fraction form
    27,843.40/41,767.18 = 8,122.12/x
  3. Step 3: Cross multiply
    27,843.40x = 41,767.18 × 8,122.12
  4. Step 4: Simplify right side
    27,843.40x = 339,238,048.02
  5. Step 5: Solve for x
    x = 339,238,048.02/27,843.40
  6. Step 6: Final answer
    x = 12,183.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.