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Finding the Fourth Proportional to 11,221.52, 16,820.40 and 3,819.20

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Solution

The fourth proportional to 11,221.52, 16,820.40 and 3,819.20 is: 5,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.52 : 16,820.40 = 3,819.20 : x
  2. Step 2: Convert to fraction form
    11,221.52/16,820.40 = 3,819.20/x
  3. Step 3: Cross multiply
    11,221.52x = 16,820.40 × 3,819.20
  4. Step 4: Simplify right side
    11,221.52x = 64,240,471.68
  5. Step 5: Solve for x
    x = 64,240,471.68/11,221.52
  6. Step 6: Final answer
    x = 5,724.76

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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.