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Finding the Fourth Proportional to 13,819.77, 20,729.65 and 3,431.52

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Solution

The fourth proportional to 13,819.77, 20,729.65 and 3,431.52 is: 5,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.77 : 20,729.65 = 3,431.52 : x
  2. Step 2: Convert to fraction form
    13,819.77/20,729.65 = 3,431.52/x
  3. Step 3: Cross multiply
    13,819.77x = 20,729.65 × 3,431.52
  4. Step 4: Simplify right side
    13,819.77x = 71,134,104.92
  5. Step 5: Solve for x
    x = 71,134,104.92/13,819.77
  6. Step 6: Final answer
    x = 5,147.27

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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.