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Finding the Fourth Proportional to 3,668.58, 5,503.48 and 1,819.78

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Solution

The fourth proportional to 3,668.58, 5,503.48 and 1,819.78 is: 2,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.58 : 5,503.48 = 1,819.78 : x
  2. Step 2: Convert to fraction form
    3,668.58/5,503.48 = 1,819.78/x
  3. Step 3: Cross multiply
    3,668.58x = 5,503.48 × 1,819.78
  4. Step 4: Simplify right side
    3,668.58x = 10,015,122.83
  5. Step 5: Solve for x
    x = 10,015,122.83/3,668.58
  6. Step 6: Final answer
    x = 2,729.97

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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.