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Finding the Fourth Proportional to 12,122.98, 18,186.52 and 6,202.44

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Solution

The fourth proportional to 12,122.98, 18,186.52 and 6,202.44 is: 9,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.98 : 18,186.52 = 6,202.44 : x
  2. Step 2: Convert to fraction form
    12,122.98/18,186.52 = 6,202.44/x
  3. Step 3: Cross multiply
    12,122.98x = 18,186.52 × 6,202.44
  4. Step 4: Simplify right side
    12,122.98x = 112,800,799.11
  5. Step 5: Solve for x
    x = 112,800,799.11/12,122.98
  6. Step 6: Final answer
    x = 9,304.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.