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Finding the Fourth Proportional to 3,986.52, 5,979.78 and 1,388.76

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Solution

The fourth proportional to 3,986.52, 5,979.78 and 1,388.76 is: 2,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.52 : 5,979.78 = 1,388.76 : x
  2. Step 2: Convert to fraction form
    3,986.52/5,979.78 = 1,388.76/x
  3. Step 3: Cross multiply
    3,986.52x = 5,979.78 × 1,388.76
  4. Step 4: Simplify right side
    3,986.52x = 8,304,479.27
  5. Step 5: Solve for x
    x = 8,304,479.27/3,986.52
  6. Step 6: Final answer
    x = 2,083.14

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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.