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Finding the Fourth Proportional to 3,991.09, 5,986.35 and 1,358.38

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Solution

The fourth proportional to 3,991.09, 5,986.35 and 1,358.38 is: 2,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.09 : 5,986.35 = 1,358.38 : x
  2. Step 2: Convert to fraction form
    3,991.09/5,986.35 = 1,358.38/x
  3. Step 3: Cross multiply
    3,991.09x = 5,986.35 × 1,358.38
  4. Step 4: Simplify right side
    3,991.09x = 8,131,738.11
  5. Step 5: Solve for x
    x = 8,131,738.11/3,991.09
  6. Step 6: Final answer
    x = 2,037.47

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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.