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Finding the Fourth Proportional to 11,966, 17,951.90 and 3,758

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Solution

The fourth proportional to 11,966, 17,951.90 and 3,758 is: 5,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966 : 17,951.90 = 3,758 : x
  2. Step 2: Convert to fraction form
    11,966/17,951.90 = 3,758/x
  3. Step 3: Cross multiply
    11,966x = 17,951.90 × 3,758
  4. Step 4: Simplify right side
    11,966x = 67,463,240.20
  5. Step 5: Solve for x
    x = 67,463,240.20/11,966
  6. Step 6: Final answer
    x = 5,637.91

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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.