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Finding the Fourth Proportional to 20,797.76, 31,218.24 and 12,049.76

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Solution

The fourth proportional to 20,797.76, 31,218.24 and 12,049.76 is: 18,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.76 : 31,218.24 = 12,049.76 : x
  2. Step 2: Convert to fraction form
    20,797.76/31,218.24 = 12,049.76/x
  3. Step 3: Cross multiply
    20,797.76x = 31,218.24 × 12,049.76
  4. Step 4: Simplify right side
    20,797.76x = 376,172,299.62
  5. Step 5: Solve for x
    x = 376,172,299.62/20,797.76
  6. Step 6: Final answer
    x = 18,087.15

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1.5x scale

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.