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Finding the Fourth Proportional to 1,991.92, 2,990.16 and 1,170.80

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Solution

The fourth proportional to 1,991.92, 2,990.16 and 1,170.80 is: 1,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.92 : 2,990.16 = 1,170.80 : x
  2. Step 2: Convert to fraction form
    1,991.92/2,990.16 = 1,170.80/x
  3. Step 3: Cross multiply
    1,991.92x = 2,990.16 × 1,170.80
  4. Step 4: Simplify right side
    1,991.92x = 3,500,879.33
  5. Step 5: Solve for x
    x = 3,500,879.33/1,991.92
  6. Step 6: Final answer
    x = 1,757.54

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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.