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Finding the Fourth Proportional to 11,914.67, 17,871.13 and 4,892.78

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Solution

The fourth proportional to 11,914.67, 17,871.13 and 4,892.78 is: 7,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.67 : 17,871.13 = 4,892.78 : x
  2. Step 2: Convert to fraction form
    11,914.67/17,871.13 = 4,892.78/x
  3. Step 3: Cross multiply
    11,914.67x = 17,871.13 × 4,892.78
  4. Step 4: Simplify right side
    11,914.67x = 87,439,507.97
  5. Step 5: Solve for x
    x = 87,439,507.97/11,914.67
  6. Step 6: Final answer
    x = 7,338.81

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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.