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Finding the Fourth Proportional to 3,540.36, 5,309.22 and 1,074.44

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Solution

The fourth proportional to 3,540.36, 5,309.22 and 1,074.44 is: 1,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.36 : 5,309.22 = 1,074.44 : x
  2. Step 2: Convert to fraction form
    3,540.36/5,309.22 = 1,074.44/x
  3. Step 3: Cross multiply
    3,540.36x = 5,309.22 × 1,074.44
  4. Step 4: Simplify right side
    3,540.36x = 5,704,438.34
  5. Step 5: Solve for x
    x = 5,704,438.34/3,540.36
  6. Step 6: Final answer
    x = 1,611.26

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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.