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Finding the Fourth Proportional to 3,991.41, 5,985.12 and 1,217.43

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Solution

The fourth proportional to 3,991.41, 5,985.12 and 1,217.43 is: 1,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.41 : 5,985.12 = 1,217.43 : x
  2. Step 2: Convert to fraction form
    3,991.41/5,985.12 = 1,217.43/x
  3. Step 3: Cross multiply
    3,991.41x = 5,985.12 × 1,217.43
  4. Step 4: Simplify right side
    3,991.41x = 7,286,469.21
  5. Step 5: Solve for x
    x = 7,286,469.21/3,991.41
  6. Step 6: Final answer
    x = 1,825.54

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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.