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Finding the Fourth Proportional to 18,121.64, 27,183.98 and 7,733.48

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Solution

The fourth proportional to 18,121.64, 27,183.98 and 7,733.48 is: 11,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121.64 : 27,183.98 = 7,733.48 : x
  2. Step 2: Convert to fraction form
    18,121.64/27,183.98 = 7,733.48/x
  3. Step 3: Cross multiply
    18,121.64x = 27,183.98 × 7,733.48
  4. Step 4: Simplify right side
    18,121.64x = 210,226,765.65
  5. Step 5: Solve for x
    x = 210,226,765.65/18,121.64
  6. Step 6: Final answer
    x = 11,600.87

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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.