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Finding the Fourth Proportional to 1,991.62, 2,982.80 and 1,922.42

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Solution

The fourth proportional to 1,991.62, 2,982.80 and 1,922.42 is: 2,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.62 : 2,982.80 = 1,922.42 : x
  2. Step 2: Convert to fraction form
    1,991.62/2,982.80 = 1,922.42/x
  3. Step 3: Cross multiply
    1,991.62x = 2,982.80 × 1,922.42
  4. Step 4: Simplify right side
    1,991.62x = 5,734,184.76
  5. Step 5: Solve for x
    x = 5,734,184.76/1,991.62
  6. Step 6: Final answer
    x = 2,879.16

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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.