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Finding the Fourth Proportional to 8,198.80, 12,298 and 2,652.56

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Solution

The fourth proportional to 8,198.80, 12,298 and 2,652.56 is: 3,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.80 : 12,298 = 2,652.56 : x
  2. Step 2: Convert to fraction form
    8,198.80/12,298 = 2,652.56/x
  3. Step 3: Cross multiply
    8,198.80x = 12,298 × 2,652.56
  4. Step 4: Simplify right side
    8,198.80x = 32,621,182.88
  5. Step 5: Solve for x
    x = 32,621,182.88/8,198.80
  6. Step 6: Final answer
    x = 3,978.78

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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.