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Finding the Fourth Proportional to 3,944.94, 5,913.27 and 1,478.22

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Solution

The fourth proportional to 3,944.94, 5,913.27 and 1,478.22 is: 2,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.94 : 5,913.27 = 1,478.22 : x
  2. Step 2: Convert to fraction form
    3,944.94/5,913.27 = 1,478.22/x
  3. Step 3: Cross multiply
    3,944.94x = 5,913.27 × 1,478.22
  4. Step 4: Simplify right side
    3,944.94x = 8,741,113.98
  5. Step 5: Solve for x
    x = 8,741,113.98/3,944.94
  6. Step 6: Final answer
    x = 2,215.78

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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.