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Finding the Fourth Proportional to 3,986.57, 5,981.14 and 1,213.78

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Solution

The fourth proportional to 3,986.57, 5,981.14 and 1,213.78 is: 1,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.57 : 5,981.14 = 1,213.78 : x
  2. Step 2: Convert to fraction form
    3,986.57/5,981.14 = 1,213.78/x
  3. Step 3: Cross multiply
    3,986.57x = 5,981.14 × 1,213.78
  4. Step 4: Simplify right side
    3,986.57x = 7,259,770.12
  5. Step 5: Solve for x
    x = 7,259,770.12/3,986.57
  6. Step 6: Final answer
    x = 1,821.06

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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.