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Finding the Fourth Proportional to 12,166.50, 18,226.11 and 7,993.83

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Solution

The fourth proportional to 12,166.50, 18,226.11 and 7,993.83 is: 11,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.50 : 18,226.11 = 7,993.83 : x
  2. Step 2: Convert to fraction form
    12,166.50/18,226.11 = 7,993.83/x
  3. Step 3: Cross multiply
    12,166.50x = 18,226.11 × 7,993.83
  4. Step 4: Simplify right side
    12,166.50x = 145,696,424.90
  5. Step 5: Solve for x
    x = 145,696,424.90/12,166.50
  6. Step 6: Final answer
    x = 11,975.21

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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.