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Finding the Fourth Proportional to 3,847, 5,771.46 and 1,111

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Solution

The fourth proportional to 3,847, 5,771.46 and 1,111 is: 1,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847 : 5,771.46 = 1,111 : x
  2. Step 2: Convert to fraction form
    3,847/5,771.46 = 1,111/x
  3. Step 3: Cross multiply
    3,847x = 5,771.46 × 1,111
  4. Step 4: Simplify right side
    3,847x = 6,412,092.06
  5. Step 5: Solve for x
    x = 6,412,092.06/3,847
  6. Step 6: Final answer
    x = 1,666.78

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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.