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Finding the Fourth Proportional to 13,481, 20,221.50 and 3,753

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Solution

The fourth proportional to 13,481, 20,221.50 and 3,753 is: 5,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481 : 20,221.50 = 3,753 : x
  2. Step 2: Convert to fraction form
    13,481/20,221.50 = 3,753/x
  3. Step 3: Cross multiply
    13,481x = 20,221.50 × 3,753
  4. Step 4: Simplify right side
    13,481x = 75,891,289.50
  5. Step 5: Solve for x
    x = 75,891,289.50/13,481
  6. Step 6: Final answer
    x = 5,629.50

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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.