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Finding the Fourth Proportional to 20,634.84, 30,922.02 and 12,819.96

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Solution

The fourth proportional to 20,634.84, 30,922.02 and 12,819.96 is: 19,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.84 : 30,922.02 = 12,819.96 : x
  2. Step 2: Convert to fraction form
    20,634.84/30,922.02 = 12,819.96/x
  3. Step 3: Cross multiply
    20,634.84x = 30,922.02 × 12,819.96
  4. Step 4: Simplify right side
    20,634.84x = 396,419,059.52
  5. Step 5: Solve for x
    x = 396,419,059.52/20,634.84
  6. Step 6: Final answer
    x = 19,211.15

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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.