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Finding the Fourth Proportional to 3,991.16, 5,986.43 and 1,650.56

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Solution

The fourth proportional to 3,991.16, 5,986.43 and 1,650.56 is: 2,475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.16 : 5,986.43 = 1,650.56 : x
  2. Step 2: Convert to fraction form
    3,991.16/5,986.43 = 1,650.56/x
  3. Step 3: Cross multiply
    3,991.16x = 5,986.43 × 1,650.56
  4. Step 4: Simplify right side
    3,991.16x = 9,880,923.72
  5. Step 5: Solve for x
    x = 9,880,923.72/3,991.16
  6. Step 6: Final answer
    x = 2,475.71

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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.