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Finding the Fourth Proportional to 3,819.09, 5,729.09 and 1,353.41

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Solution

The fourth proportional to 3,819.09, 5,729.09 and 1,353.41 is: 2,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.09 : 5,729.09 = 1,353.41 : x
  2. Step 2: Convert to fraction form
    3,819.09/5,729.09 = 1,353.41/x
  3. Step 3: Cross multiply
    3,819.09x = 5,729.09 × 1,353.41
  4. Step 4: Simplify right side
    3,819.09x = 7,753,807.70
  5. Step 5: Solve for x
    x = 7,753,807.70/3,819.09
  6. Step 6: Final answer
    x = 2,030.28

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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.