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Finding the Fourth Proportional to 2,550.90, 3,830.16 and 2,083.80

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Solution

The fourth proportional to 2,550.90, 3,830.16 and 2,083.80 is: 3,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.90 : 3,830.16 = 2,083.80 : x
  2. Step 2: Convert to fraction form
    2,550.90/3,830.16 = 2,083.80/x
  3. Step 3: Cross multiply
    2,550.90x = 3,830.16 × 2,083.80
  4. Step 4: Simplify right side
    2,550.90x = 7,981,287.41
  5. Step 5: Solve for x
    x = 7,981,287.41/2,550.90
  6. Step 6: Final answer
    x = 3,128.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.