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Finding the Fourth Proportional to 7,198.60, 10,797.84 and 2,819.12

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Solution

The fourth proportional to 7,198.60, 10,797.84 and 2,819.12 is: 4,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.60 : 10,797.84 = 2,819.12 : x
  2. Step 2: Convert to fraction form
    7,198.60/10,797.84 = 2,819.12/x
  3. Step 3: Cross multiply
    7,198.60x = 10,797.84 × 2,819.12
  4. Step 4: Simplify right side
    7,198.60x = 30,440,406.70
  5. Step 5: Solve for x
    x = 30,440,406.70/7,198.60
  6. Step 6: Final answer
    x = 4,228.66

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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.