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Finding the Fourth Proportional to 3,986.97, 5,981.43 and 1,678.65

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Solution

The fourth proportional to 3,986.97, 5,981.43 and 1,678.65 is: 2,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.97 : 5,981.43 = 1,678.65 : x
  2. Step 2: Convert to fraction form
    3,986.97/5,981.43 = 1,678.65/x
  3. Step 3: Cross multiply
    3,986.97x = 5,981.43 × 1,678.65
  4. Step 4: Simplify right side
    3,986.97x = 10,040,727.47
  5. Step 5: Solve for x
    x = 10,040,727.47/3,986.97
  6. Step 6: Final answer
    x = 2,518.39

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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.