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Finding the Fourth Proportional to 3,986.36, 5,979.92 and 1,064.84

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Solution

The fourth proportional to 3,986.36, 5,979.92 and 1,064.84 is: 1,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.36 : 5,979.92 = 1,064.84 : x
  2. Step 2: Convert to fraction form
    3,986.36/5,979.92 = 1,064.84/x
  3. Step 3: Cross multiply
    3,986.36x = 5,979.92 × 1,064.84
  4. Step 4: Simplify right side
    3,986.36x = 6,367,658.01
  5. Step 5: Solve for x
    x = 6,367,658.01/3,986.36
  6. Step 6: Final answer
    x = 1,597.36

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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.