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Finding the Fourth Proportional to 18,221.55, 27,310.38 and 7,687.50

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Solution

The fourth proportional to 18,221.55, 27,310.38 and 7,687.50 is: 11,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,221.55 : 27,310.38 = 7,687.50 : x
  2. Step 2: Convert to fraction form
    18,221.55/27,310.38 = 7,687.50/x
  3. Step 3: Cross multiply
    18,221.55x = 27,310.38 × 7,687.50
  4. Step 4: Simplify right side
    18,221.55x = 209,948,546.25
  5. Step 5: Solve for x
    x = 209,948,546.25/18,221.55
  6. Step 6: Final answer
    x = 11,521.99

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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.