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Finding the Fourth Proportional to 2,550.50, 3,511.05 and 2,288.42

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Solution

The fourth proportional to 2,550.50, 3,511.05 and 2,288.42 is: 3,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.50 : 3,511.05 = 2,288.42 : x
  2. Step 2: Convert to fraction form
    2,550.50/3,511.05 = 2,288.42/x
  3. Step 3: Cross multiply
    2,550.50x = 3,511.05 × 2,288.42
  4. Step 4: Simplify right side
    2,550.50x = 8,034,757.04
  5. Step 5: Solve for x
    x = 8,034,757.04/2,550.50
  6. Step 6: Final answer
    x = 3,150.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.