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Finding the Fourth Proportional to 3,986.37, 5,979.71 and 1,064.70

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Solution

The fourth proportional to 3,986.37, 5,979.71 and 1,064.70 is: 1,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.37 : 5,979.71 = 1,064.70 : x
  2. Step 2: Convert to fraction form
    3,986.37/5,979.71 = 1,064.70/x
  3. Step 3: Cross multiply
    3,986.37x = 5,979.71 × 1,064.70
  4. Step 4: Simplify right side
    3,986.37x = 6,366,591.91
  5. Step 5: Solve for x
    x = 6,366,591.91/3,986.37
  6. Step 6: Final answer
    x = 1,597.09

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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.