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Finding the Fourth Proportional to 12,197.97, 18,298.03 and 3,432.96

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Solution

The fourth proportional to 12,197.97, 18,298.03 and 3,432.96 is: 5,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.97 : 18,298.03 = 3,432.96 : x
  2. Step 2: Convert to fraction form
    12,197.97/18,298.03 = 3,432.96/x
  3. Step 3: Cross multiply
    12,197.97x = 18,298.03 × 3,432.96
  4. Step 4: Simplify right side
    12,197.97x = 62,816,405.07
  5. Step 5: Solve for x
    x = 62,816,405.07/12,197.97
  6. Step 6: Final answer
    x = 5,149.74

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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.