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Finding the Fourth Proportional to 18,099.33, 27,138 and 8,102.22

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Solution

The fourth proportional to 18,099.33, 27,138 and 8,102.22 is: 12,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,099.33 : 27,138 = 8,102.22 : x
  2. Step 2: Convert to fraction form
    18,099.33/27,138 = 8,102.22/x
  3. Step 3: Cross multiply
    18,099.33x = 27,138 × 8,102.22
  4. Step 4: Simplify right side
    18,099.33x = 219,878,046.36
  5. Step 5: Solve for x
    x = 219,878,046.36/18,099.33
  6. Step 6: Final answer
    x = 12,148.41

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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.