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Finding the Fourth Proportional to 3,940.44, 5,437.74 and 2,172

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Solution

The fourth proportional to 3,940.44, 5,437.74 and 2,172 is: 2,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.44 : 5,437.74 = 2,172 : x
  2. Step 2: Convert to fraction form
    3,940.44/5,437.74 = 2,172/x
  3. Step 3: Cross multiply
    3,940.44x = 5,437.74 × 2,172
  4. Step 4: Simplify right side
    3,940.44x = 11,810,771.28
  5. Step 5: Solve for x
    x = 11,810,771.28/3,940.44
  6. Step 6: Final answer
    x = 2,997.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.