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Finding the Fourth Proportional to 3,633.44, 5,450.88 and 1,443.20

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Solution

The fourth proportional to 3,633.44, 5,450.88 and 1,443.20 is: 2,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.44 : 5,450.88 = 1,443.20 : x
  2. Step 2: Convert to fraction form
    3,633.44/5,450.88 = 1,443.20/x
  3. Step 3: Cross multiply
    3,633.44x = 5,450.88 × 1,443.20
  4. Step 4: Simplify right side
    3,633.44x = 7,866,710.02
  5. Step 5: Solve for x
    x = 7,866,710.02/3,633.44
  6. Step 6: Final answer
    x = 2,165.09

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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.