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Finding the Fourth Proportional to 20,137.62, 27,785.88 and 11,183.88

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Solution

The fourth proportional to 20,137.62, 27,785.88 and 11,183.88 is: 15,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.62 : 27,785.88 = 11,183.88 : x
  2. Step 2: Convert to fraction form
    20,137.62/27,785.88 = 11,183.88/x
  3. Step 3: Cross multiply
    20,137.62x = 27,785.88 × 11,183.88
  4. Step 4: Simplify right side
    20,137.62x = 310,753,947.61
  5. Step 5: Solve for x
    x = 310,753,947.61/20,137.62
  6. Step 6: Final answer
    x = 15,431.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.