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Finding the Fourth Proportional to 3,940.50, 5,437.54 and 2,172

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Solution

The fourth proportional to 3,940.50, 5,437.54 and 2,172 is: 2,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.50 : 5,437.54 = 2,172 : x
  2. Step 2: Convert to fraction form
    3,940.50/5,437.54 = 2,172/x
  3. Step 3: Cross multiply
    3,940.50x = 5,437.54 × 2,172
  4. Step 4: Simplify right side
    3,940.50x = 11,810,336.88
  5. Step 5: Solve for x
    x = 11,810,336.88/3,940.50
  6. Step 6: Final answer
    x = 2,997.17

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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.