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Finding the Fourth Proportional to 3,768.12, 5,651.64 and 1,819.80

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Solution

The fourth proportional to 3,768.12, 5,651.64 and 1,819.80 is: 2,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.12 : 5,651.64 = 1,819.80 : x
  2. Step 2: Convert to fraction form
    3,768.12/5,651.64 = 1,819.80/x
  3. Step 3: Cross multiply
    3,768.12x = 5,651.64 × 1,819.80
  4. Step 4: Simplify right side
    3,768.12x = 10,284,854.47
  5. Step 5: Solve for x
    x = 10,284,854.47/3,768.12
  6. Step 6: Final answer
    x = 2,729.44

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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.