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Finding the Fourth Proportional to 13,819.65, 20,729.46 and 3,431.40

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Solution

The fourth proportional to 13,819.65, 20,729.46 and 3,431.40 is: 5,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.65 : 20,729.46 = 3,431.40 : x
  2. Step 2: Convert to fraction form
    13,819.65/20,729.46 = 3,431.40/x
  3. Step 3: Cross multiply
    13,819.65x = 20,729.46 × 3,431.40
  4. Step 4: Simplify right side
    13,819.65x = 71,131,004.18
  5. Step 5: Solve for x
    x = 71,131,004.18/13,819.65
  6. Step 6: Final answer
    x = 5,147.09

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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.