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Finding the Fourth Proportional to 6,147.37, 9,213.78 and 3,375.37

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Solution

The fourth proportional to 6,147.37, 9,213.78 and 3,375.37 is: 5,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.37 : 9,213.78 = 3,375.37 : x
  2. Step 2: Convert to fraction form
    6,147.37/9,213.78 = 3,375.37/x
  3. Step 3: Cross multiply
    6,147.37x = 9,213.78 × 3,375.37
  4. Step 4: Simplify right side
    6,147.37x = 31,099,916.60
  5. Step 5: Solve for x
    x = 31,099,916.60/6,147.37
  6. Step 6: Final answer
    x = 5,059.06

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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.