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Finding the Fourth Proportional to 3,940.50, 5,912.16 and 1,688.09

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Solution

The fourth proportional to 3,940.50, 5,912.16 and 1,688.09 is: 2,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.50 : 5,912.16 = 1,688.09 : x
  2. Step 2: Convert to fraction form
    3,940.50/5,912.16 = 1,688.09/x
  3. Step 3: Cross multiply
    3,940.50x = 5,912.16 × 1,688.09
  4. Step 4: Simplify right side
    3,940.50x = 9,980,239.30
  5. Step 5: Solve for x
    x = 9,980,239.30/3,940.50
  6. Step 6: Final answer
    x = 2,532.73

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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.