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Finding the Fourth Proportional to 20,591, 30,892.44 and 11,832.20

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Solution

The fourth proportional to 20,591, 30,892.44 and 11,832.20 is: 17,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591 : 30,892.44 = 11,832.20 : x
  2. Step 2: Convert to fraction form
    20,591/30,892.44 = 11,832.20/x
  3. Step 3: Cross multiply
    20,591x = 30,892.44 × 11,832.20
  4. Step 4: Simplify right side
    20,591x = 365,525,528.57
  5. Step 5: Solve for x
    x = 365,525,528.57/20,591
  6. Step 6: Final answer
    x = 17,751.71

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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.