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Finding the Fourth Proportional to 12,227, 18,340.86 and 2,993

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Solution

The fourth proportional to 12,227, 18,340.86 and 2,993 is: 4,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227 : 18,340.86 = 2,993 : x
  2. Step 2: Convert to fraction form
    12,227/18,340.86 = 2,993/x
  3. Step 3: Cross multiply
    12,227x = 18,340.86 × 2,993
  4. Step 4: Simplify right side
    12,227x = 54,894,193.98
  5. Step 5: Solve for x
    x = 54,894,193.98/12,227
  6. Step 6: Final answer
    x = 4,489.59

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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.