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Finding the Fourth Proportional to 3,986, 5,979.96 and 1,250

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Solution

The fourth proportional to 3,986, 5,979.96 and 1,250 is: 1,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986 : 5,979.96 = 1,250 : x
  2. Step 2: Convert to fraction form
    3,986/5,979.96 = 1,250/x
  3. Step 3: Cross multiply
    3,986x = 5,979.96 × 1,250
  4. Step 4: Simplify right side
    3,986x = 7,474,950
  5. Step 5: Solve for x
    x = 7,474,950/3,986
  6. Step 6: Final answer
    x = 1,875.30

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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.