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Finding the Fourth Proportional to 13,819.20, 20,722.56 and 3,956.22

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Solution

The fourth proportional to 13,819.20, 20,722.56 and 3,956.22 is: 5,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.20 : 20,722.56 = 3,956.22 : x
  2. Step 2: Convert to fraction form
    13,819.20/20,722.56 = 3,956.22/x
  3. Step 3: Cross multiply
    13,819.20x = 20,722.56 × 3,956.22
  4. Step 4: Simplify right side
    13,819.20x = 81,983,006.32
  5. Step 5: Solve for x
    x = 81,983,006.32/13,819.20
  6. Step 6: Final answer
    x = 5,932.54

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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.