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Finding the Fourth Proportional to 27,865.14, 41,797.89 and 8,145.90

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Solution

The fourth proportional to 27,865.14, 41,797.89 and 8,145.90 is: 12,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.14 : 41,797.89 = 8,145.90 : x
  2. Step 2: Convert to fraction form
    27,865.14/41,797.89 = 8,145.90/x
  3. Step 3: Cross multiply
    27,865.14x = 41,797.89 × 8,145.90
  4. Step 4: Simplify right side
    27,865.14x = 340,481,432.15
  5. Step 5: Solve for x
    x = 340,481,432.15/27,865.14
  6. Step 6: Final answer
    x = 12,218.90

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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.