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Finding the Fourth Proportional to 3,668.20, 5,062 and 2,074.90

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Solution

The fourth proportional to 3,668.20, 5,062 and 2,074.90 is: 2,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.20 : 5,062 = 2,074.90 : x
  2. Step 2: Convert to fraction form
    3,668.20/5,062 = 2,074.90/x
  3. Step 3: Cross multiply
    3,668.20x = 5,062 × 2,074.90
  4. Step 4: Simplify right side
    3,668.20x = 10,503,143.80
  5. Step 5: Solve for x
    x = 10,503,143.80/3,668.20
  6. Step 6: Final answer
    x = 2,863.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.