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Finding the Fourth Proportional to 12,198.78, 18,298.20 and 2,964.78

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Solution

The fourth proportional to 12,198.78, 18,298.20 and 2,964.78 is: 4,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.78 : 18,298.20 = 2,964.78 : x
  2. Step 2: Convert to fraction form
    12,198.78/18,298.20 = 2,964.78/x
  3. Step 3: Cross multiply
    12,198.78x = 18,298.20 × 2,964.78
  4. Step 4: Simplify right side
    12,198.78x = 54,250,137.40
  5. Step 5: Solve for x
    x = 54,250,137.40/12,198.78
  6. Step 6: Final answer
    x = 4,447.18

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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.