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Finding the Fourth Proportional to 1,991.89, 2,987.23 and 1,843.66

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Solution

The fourth proportional to 1,991.89, 2,987.23 and 1,843.66 is: 2,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.89 : 2,987.23 = 1,843.66 : x
  2. Step 2: Convert to fraction form
    1,991.89/2,987.23 = 1,843.66/x
  3. Step 3: Cross multiply
    1,991.89x = 2,987.23 × 1,843.66
  4. Step 4: Simplify right side
    1,991.89x = 5,507,439.04
  5. Step 5: Solve for x
    x = 5,507,439.04/1,991.89
  6. Step 6: Final answer
    x = 2,764.93

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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.