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Finding the Fourth Proportional to 3,668.01, 5,503.79 and 1,819.29

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Solution

The fourth proportional to 3,668.01, 5,503.79 and 1,819.29 is: 2,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.01 : 5,503.79 = 1,819.29 : x
  2. Step 2: Convert to fraction form
    3,668.01/5,503.79 = 1,819.29/x
  3. Step 3: Cross multiply
    3,668.01x = 5,503.79 × 1,819.29
  4. Step 4: Simplify right side
    3,668.01x = 10,012,981.01
  5. Step 5: Solve for x
    x = 10,012,981.01/3,668.01
  6. Step 6: Final answer
    x = 2,729.81

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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.