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Finding the Fourth Proportional to 3,986.28, 5,979.42 and 1,064.88

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Solution

The fourth proportional to 3,986.28, 5,979.42 and 1,064.88 is: 1,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.28 : 5,979.42 = 1,064.88 : x
  2. Step 2: Convert to fraction form
    3,986.28/5,979.42 = 1,064.88/x
  3. Step 3: Cross multiply
    3,986.28x = 5,979.42 × 1,064.88
  4. Step 4: Simplify right side
    3,986.28x = 6,367,364.77
  5. Step 5: Solve for x
    x = 6,367,364.77/3,986.28
  6. Step 6: Final answer
    x = 1,597.32

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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.