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Finding the Fourth Proportional to 3,991.00, 5,986.51 and 1,648.43

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Solution

The fourth proportional to 3,991.00, 5,986.51 and 1,648.43 is: 2,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.00 : 5,986.51 = 1,648.43 : x
  2. Step 2: Convert to fraction form
    3,991.00/5,986.51 = 1,648.43/x
  3. Step 3: Cross multiply
    3,991.00x = 5,986.51 × 1,648.43
  4. Step 4: Simplify right side
    3,991.00x = 9,868,352.30
  5. Step 5: Solve for x
    x = 9,868,352.30/3,991.00
  6. Step 6: Final answer
    x = 2,472.65

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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.