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Finding the Fourth Proportional to 3,988.63, 5,982.48 and 1,067.17

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Solution

The fourth proportional to 3,988.63, 5,982.48 and 1,067.17 is: 1,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.63 : 5,982.48 = 1,067.17 : x
  2. Step 2: Convert to fraction form
    3,988.63/5,982.48 = 1,067.17/x
  3. Step 3: Cross multiply
    3,988.63x = 5,982.48 × 1,067.17
  4. Step 4: Simplify right side
    3,988.63x = 6,384,323.18
  5. Step 5: Solve for x
    x = 6,384,323.18/3,988.63
  6. Step 6: Final answer
    x = 1,600.63

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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.