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Finding the Fourth Proportional to 18,649.56, 27,978.44 and 8,121.28

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Solution

The fourth proportional to 18,649.56, 27,978.44 and 8,121.28 is: 12,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.56 : 27,978.44 = 8,121.28 : x
  2. Step 2: Convert to fraction form
    18,649.56/27,978.44 = 8,121.28/x
  3. Step 3: Cross multiply
    18,649.56x = 27,978.44 × 8,121.28
  4. Step 4: Simplify right side
    18,649.56x = 227,220,745.20
  5. Step 5: Solve for x
    x = 227,220,745.20/18,649.56
  6. Step 6: Final answer
    x = 12,183.71

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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.