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Finding the Fourth Proportional to 3,986.22, 5,979.14 and 1,645.58

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Solution

The fourth proportional to 3,986.22, 5,979.14 and 1,645.58 is: 2,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.22 : 5,979.14 = 1,645.58 : x
  2. Step 2: Convert to fraction form
    3,986.22/5,979.14 = 1,645.58/x
  3. Step 3: Cross multiply
    3,986.22x = 5,979.14 × 1,645.58
  4. Step 4: Simplify right side
    3,986.22x = 9,839,153.20
  5. Step 5: Solve for x
    x = 9,839,153.20/3,986.22
  6. Step 6: Final answer
    x = 2,468.29

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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.