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Finding the Fourth Proportional to 2,550.52, 3,826.38 and 907.21

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Solution

The fourth proportional to 2,550.52, 3,826.38 and 907.21 is: 1,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.52 : 3,826.38 = 907.21 : x
  2. Step 2: Convert to fraction form
    2,550.52/3,826.38 = 907.21/x
  3. Step 3: Cross multiply
    2,550.52x = 3,826.38 × 907.21
  4. Step 4: Simplify right side
    2,550.52x = 3,471,311.07
  5. Step 5: Solve for x
    x = 3,471,311.07/2,550.52
  6. Step 6: Final answer
    x = 1,361.02

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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.