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Finding the Fourth Proportional to 3,991, 5,986.74 and 1,255

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Solution

The fourth proportional to 3,991, 5,986.74 and 1,255 is: 1,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991 : 5,986.74 = 1,255 : x
  2. Step 2: Convert to fraction form
    3,991/5,986.74 = 1,255/x
  3. Step 3: Cross multiply
    3,991x = 5,986.74 × 1,255
  4. Step 4: Simplify right side
    3,991x = 7,513,358.70
  5. Step 5: Solve for x
    x = 7,513,358.70/3,991
  6. Step 6: Final answer
    x = 1,882.58

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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.