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Finding the Fourth Proportional to 7,198.64, 10,797.02 and 2,819.20

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Solution

The fourth proportional to 7,198.64, 10,797.02 and 2,819.20 is: 4,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.64 : 10,797.02 = 2,819.20 : x
  2. Step 2: Convert to fraction form
    7,198.64/10,797.02 = 2,819.20/x
  3. Step 3: Cross multiply
    7,198.64x = 10,797.02 × 2,819.20
  4. Step 4: Simplify right side
    7,198.64x = 30,438,958.78
  5. Step 5: Solve for x
    x = 30,438,958.78/7,198.64
  6. Step 6: Final answer
    x = 4,228.43

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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.