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Finding the Fourth Proportional to 3,543.56, 5,315.39 and 1,352.41

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Solution

The fourth proportional to 3,543.56, 5,315.39 and 1,352.41 is: 2,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.56 : 5,315.39 = 1,352.41 : x
  2. Step 2: Convert to fraction form
    3,543.56/5,315.39 = 1,352.41/x
  3. Step 3: Cross multiply
    3,543.56x = 5,315.39 × 1,352.41
  4. Step 4: Simplify right side
    3,543.56x = 7,188,589.97
  5. Step 5: Solve for x
    x = 7,188,589.97/3,543.56
  6. Step 6: Final answer
    x = 2,028.63

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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.