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Finding the Fourth Proportional to 12,197.27, 18,310.45 and 7,269.23

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Solution

The fourth proportional to 12,197.27, 18,310.45 and 7,269.23 is: 10,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.27 : 18,310.45 = 7,269.23 : x
  2. Step 2: Convert to fraction form
    12,197.27/18,310.45 = 7,269.23/x
  3. Step 3: Cross multiply
    12,197.27x = 18,310.45 × 7,269.23
  4. Step 4: Simplify right side
    12,197.27x = 133,102,762.73
  5. Step 5: Solve for x
    x = 133,102,762.73/12,197.27
  6. Step 6: Final answer
    x = 10,912.51

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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.