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Finding the Fourth Proportional to 27,843.52, 41,760.96 and 8,120.02

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Solution

The fourth proportional to 27,843.52, 41,760.96 and 8,120.02 is: 12,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.52 : 41,760.96 = 8,120.02 : x
  2. Step 2: Convert to fraction form
    27,843.52/41,760.96 = 8,120.02/x
  3. Step 3: Cross multiply
    27,843.52x = 41,760.96 × 8,120.02
  4. Step 4: Simplify right side
    27,843.52x = 339,099,830.42
  5. Step 5: Solve for x
    x = 339,099,830.42/27,843.52
  6. Step 6: Final answer
    x = 12,178.77

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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.