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Finding the Fourth Proportional to 1,991.23, 2,984.24 and 819.90

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Solution

The fourth proportional to 1,991.23, 2,984.24 and 819.90 is: 1,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.23 : 2,984.24 = 819.90 : x
  2. Step 2: Convert to fraction form
    1,991.23/2,984.24 = 819.90/x
  3. Step 3: Cross multiply
    1,991.23x = 2,984.24 × 819.90
  4. Step 4: Simplify right side
    1,991.23x = 2,446,780.43
  5. Step 5: Solve for x
    x = 2,446,780.43/1,991.23
  6. Step 6: Final answer
    x = 1,228.78

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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.