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Finding the Fourth Proportional to 1,991.89, 2,986.59 and 1,734.31

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Solution

The fourth proportional to 1,991.89, 2,986.59 and 1,734.31 is: 2,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.89 : 2,986.59 = 1,734.31 : x
  2. Step 2: Convert to fraction form
    1,991.89/2,986.59 = 1,734.31/x
  3. Step 3: Cross multiply
    1,991.89x = 2,986.59 × 1,734.31
  4. Step 4: Simplify right side
    1,991.89x = 5,179,657.97
  5. Step 5: Solve for x
    x = 5,179,657.97/1,991.89
  6. Step 6: Final answer
    x = 2,600.38

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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.