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Finding the Fourth Proportional to 2,550.10, 3,825.27 and 906.89

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Solution

The fourth proportional to 2,550.10, 3,825.27 and 906.89 is: 1,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.10 : 3,825.27 = 906.89 : x
  2. Step 2: Convert to fraction form
    2,550.10/3,825.27 = 906.89/x
  3. Step 3: Cross multiply
    2,550.10x = 3,825.27 × 906.89
  4. Step 4: Simplify right side
    2,550.10x = 3,469,108.67
  5. Step 5: Solve for x
    x = 3,469,108.67/2,550.10
  6. Step 6: Final answer
    x = 1,360.38

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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.