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Finding the Fourth Proportional to 2,662.98, 3,996.36 and 2,149.20

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Solution

The fourth proportional to 2,662.98, 3,996.36 and 2,149.20 is: 3,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.98 : 3,996.36 = 2,149.20 : x
  2. Step 2: Convert to fraction form
    2,662.98/3,996.36 = 2,149.20/x
  3. Step 3: Cross multiply
    2,662.98x = 3,996.36 × 2,149.20
  4. Step 4: Simplify right side
    2,662.98x = 8,588,976.91
  5. Step 5: Solve for x
    x = 8,588,976.91/2,662.98
  6. Step 6: Final answer
    x = 3,225.33

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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.