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Finding the Fourth Proportional to 12,227, 18,340.74 and 4,019

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Solution

The fourth proportional to 12,227, 18,340.74 and 4,019 is: 6,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227 : 18,340.74 = 4,019 : x
  2. Step 2: Convert to fraction form
    12,227/18,340.74 = 4,019/x
  3. Step 3: Cross multiply
    12,227x = 18,340.74 × 4,019
  4. Step 4: Simplify right side
    12,227x = 73,711,434.06
  5. Step 5: Solve for x
    x = 73,711,434.06/12,227
  6. Step 6: Final answer
    x = 6,028.58

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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.