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Finding the Fourth Proportional to 3,997.60, 5,991.60 and 2,048.80

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Solution

The fourth proportional to 3,997.60, 5,991.60 and 2,048.80 is: 3,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.60 : 5,991.60 = 2,048.80 : x
  2. Step 2: Convert to fraction form
    3,997.60/5,991.60 = 2,048.80/x
  3. Step 3: Cross multiply
    3,997.60x = 5,991.60 × 2,048.80
  4. Step 4: Simplify right side
    3,997.60x = 12,275,590.08
  5. Step 5: Solve for x
    x = 12,275,590.08/3,997.60
  6. Step 6: Final answer
    x = 3,070.74

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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.