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Finding the Fourth Proportional to 1,993.62, 2,991.72 and 839.38

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Solution

The fourth proportional to 1,993.62, 2,991.72 and 839.38 is: 1,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.62 : 2,991.72 = 839.38 : x
  2. Step 2: Convert to fraction form
    1,993.62/2,991.72 = 839.38/x
  3. Step 3: Cross multiply
    1,993.62x = 2,991.72 × 839.38
  4. Step 4: Simplify right side
    1,993.62x = 2,511,189.93
  5. Step 5: Solve for x
    x = 2,511,189.93/1,993.62
  6. Step 6: Final answer
    x = 1,259.61

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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.