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Finding the Fourth Proportional to 20,755, 31,106.32 and 11,267

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Solution

The fourth proportional to 20,755, 31,106.32 and 11,267 is: 16,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755 : 31,106.32 = 11,267 : x
  2. Step 2: Convert to fraction form
    20,755/31,106.32 = 11,267/x
  3. Step 3: Cross multiply
    20,755x = 31,106.32 × 11,267
  4. Step 4: Simplify right side
    20,755x = 350,474,907.44
  5. Step 5: Solve for x
    x = 350,474,907.44/20,755
  6. Step 6: Final answer
    x = 16,886.29

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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.