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Finding the Fourth Proportional to 3,991.69, 5,986.85 and 1,069.31

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Solution

The fourth proportional to 3,991.69, 5,986.85 and 1,069.31 is: 1,603.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.69 : 5,986.85 = 1,069.31 : x
  2. Step 2: Convert to fraction form
    3,991.69/5,986.85 = 1,069.31/x
  3. Step 3: Cross multiply
    3,991.69x = 5,986.85 × 1,069.31
  4. Step 4: Simplify right side
    3,991.69x = 6,401,816.21
  5. Step 5: Solve for x
    x = 6,401,816.21/3,991.69
  6. Step 6: Final answer
    x = 1,603.79

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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.