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Finding the Fourth Proportional to 3,791.88, 5,661.36 and 3,271.32

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Solution

The fourth proportional to 3,791.88, 5,661.36 and 3,271.32 is: 4,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.88 : 5,661.36 = 3,271.32 : x
  2. Step 2: Convert to fraction form
    3,791.88/5,661.36 = 3,271.32/x
  3. Step 3: Cross multiply
    3,791.88x = 5,661.36 × 3,271.32
  4. Step 4: Simplify right side
    3,791.88x = 18,520,120.20
  5. Step 5: Solve for x
    x = 18,520,120.20/3,791.88
  6. Step 6: Final answer
    x = 4,884.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.