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Finding the Fourth Proportional to 3,991.56, 5,978.43 and 3,060.27

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Solution

The fourth proportional to 3,991.56, 5,978.43 and 3,060.27 is: 4,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.56 : 5,978.43 = 3,060.27 : x
  2. Step 2: Convert to fraction form
    3,991.56/5,978.43 = 3,060.27/x
  3. Step 3: Cross multiply
    3,991.56x = 5,978.43 × 3,060.27
  4. Step 4: Simplify right side
    3,991.56x = 18,295,609.98
  5. Step 5: Solve for x
    x = 18,295,609.98/3,991.56
  6. Step 6: Final answer
    x = 4,583.57

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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.