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Finding the Fourth Proportional to 2,449.44, 3,668.49 and 1,962.90

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Solution

The fourth proportional to 2,449.44, 3,668.49 and 1,962.90 is: 2,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.44 : 3,668.49 = 1,962.90 : x
  2. Step 2: Convert to fraction form
    2,449.44/3,668.49 = 1,962.90/x
  3. Step 3: Cross multiply
    2,449.44x = 3,668.49 × 1,962.90
  4. Step 4: Simplify right side
    2,449.44x = 7,200,879.02
  5. Step 5: Solve for x
    x = 7,200,879.02/2,449.44
  6. Step 6: Final answer
    x = 2,939.81

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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.