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Finding the Fourth Proportional to 3,720.82, 5,578.73 and 1,963.97

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Solution

The fourth proportional to 3,720.82, 5,578.73 and 1,963.97 is: 2,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.82 : 5,578.73 = 1,963.97 : x
  2. Step 2: Convert to fraction form
    3,720.82/5,578.73 = 1,963.97/x
  3. Step 3: Cross multiply
    3,720.82x = 5,578.73 × 1,963.97
  4. Step 4: Simplify right side
    3,720.82x = 10,956,420.64
  5. Step 5: Solve for x
    x = 10,956,420.64/3,720.82
  6. Step 6: Final answer
    x = 2,944.63

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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.