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Finding the Fourth Proportional to 27,843.77, 41,761.34 and 8,120.27

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Solution

The fourth proportional to 27,843.77, 41,761.34 and 8,120.27 is: 12,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.77 : 41,761.34 = 8,120.27 : x
  2. Step 2: Convert to fraction form
    27,843.77/41,761.34 = 8,120.27/x
  3. Step 3: Cross multiply
    27,843.77x = 41,761.34 × 8,120.27
  4. Step 4: Simplify right side
    27,843.77x = 339,113,315.76
  5. Step 5: Solve for x
    x = 339,113,315.76/27,843.77
  6. Step 6: Final answer
    x = 12,179.15

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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.