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Finding the Fourth Proportional to 2,788.99, 4,183.53 and 1,327.85

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Solution

The fourth proportional to 2,788.99, 4,183.53 and 1,327.85 is: 1,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.99 : 4,183.53 = 1,327.85 : x
  2. Step 2: Convert to fraction form
    2,788.99/4,183.53 = 1,327.85/x
  3. Step 3: Cross multiply
    2,788.99x = 4,183.53 × 1,327.85
  4. Step 4: Simplify right side
    2,788.99x = 5,555,100.31
  5. Step 5: Solve for x
    x = 5,555,100.31/2,788.99
  6. Step 6: Final answer
    x = 1,991.80

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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.