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Finding the Fourth Proportional to 18,223.26, 27,338 and 8,363.38

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Solution

The fourth proportional to 18,223.26, 27,338 and 8,363.38 is: 12,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.26 : 27,338 = 8,363.38 : x
  2. Step 2: Convert to fraction form
    18,223.26/27,338 = 8,363.38/x
  3. Step 3: Cross multiply
    18,223.26x = 27,338 × 8,363.38
  4. Step 4: Simplify right side
    18,223.26x = 228,638,082.44
  5. Step 5: Solve for x
    x = 228,638,082.44/18,223.26
  6. Step 6: Final answer
    x = 12,546.50

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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.