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Finding the Fourth Proportional to 18,211.92, 27,321.48 and 6,522

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Solution

The fourth proportional to 18,211.92, 27,321.48 and 6,522 is: 9,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,211.92 : 27,321.48 = 6,522 : x
  2. Step 2: Convert to fraction form
    18,211.92/27,321.48 = 6,522/x
  3. Step 3: Cross multiply
    18,211.92x = 27,321.48 × 6,522
  4. Step 4: Simplify right side
    18,211.92x = 178,190,692.56
  5. Step 5: Solve for x
    x = 178,190,692.56/18,211.92
  6. Step 6: Final answer
    x = 9,784.29

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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.