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Finding the Fourth Proportional to 3,897.64, 5,375.46 and 3,197.80

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Solution

The fourth proportional to 3,897.64, 5,375.46 and 3,197.80 is: 4,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.64 : 5,375.46 = 3,197.80 : x
  2. Step 2: Convert to fraction form
    3,897.64/5,375.46 = 3,197.80/x
  3. Step 3: Cross multiply
    3,897.64x = 5,375.46 × 3,197.80
  4. Step 4: Simplify right side
    3,897.64x = 17,189,645.99
  5. Step 5: Solve for x
    x = 17,189,645.99/3,897.64
  6. Step 6: Final answer
    x = 4,410.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.