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Finding the Fourth Proportional to 3,991.36, 5,976.80 and 2,447.68

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Solution

The fourth proportional to 3,991.36, 5,976.80 and 2,447.68 is: 3,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.36 : 5,976.80 = 2,447.68 : x
  2. Step 2: Convert to fraction form
    3,991.36/5,976.80 = 2,447.68/x
  3. Step 3: Cross multiply
    3,991.36x = 5,976.80 × 2,447.68
  4. Step 4: Simplify right side
    3,991.36x = 14,629,293.82
  5. Step 5: Solve for x
    x = 14,629,293.82/3,991.36
  6. Step 6: Final answer
    x = 3,665.24

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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.