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Finding the Fourth Proportional to 3,578.40, 5,361.12 and 3,435.84

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Solution

The fourth proportional to 3,578.40, 5,361.12 and 3,435.84 is: 5,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.40 : 5,361.12 = 3,435.84 : x
  2. Step 2: Convert to fraction form
    3,578.40/5,361.12 = 3,435.84/x
  3. Step 3: Cross multiply
    3,578.40x = 5,361.12 × 3,435.84
  4. Step 4: Simplify right side
    3,578.40x = 18,419,950.54
  5. Step 5: Solve for x
    x = 18,419,950.54/3,578.40
  6. Step 6: Final answer
    x = 5,147.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.