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Finding the Fourth Proportional to 3,200.26, 4,796.62 and 1,443.22

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Solution

The fourth proportional to 3,200.26, 4,796.62 and 1,443.22 is: 2,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.26 : 4,796.62 = 1,443.22 : x
  2. Step 2: Convert to fraction form
    3,200.26/4,796.62 = 1,443.22/x
  3. Step 3: Cross multiply
    3,200.26x = 4,796.62 × 1,443.22
  4. Step 4: Simplify right side
    3,200.26x = 6,922,562.32
  5. Step 5: Solve for x
    x = 6,922,562.32/3,200.26
  6. Step 6: Final answer
    x = 2,163.13

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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.