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Finding the Fourth Proportional to 3,928.49, 5,891.49 and 1,330.82

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Solution

The fourth proportional to 3,928.49, 5,891.49 and 1,330.82 is: 1,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.49 : 5,891.49 = 1,330.82 : x
  2. Step 2: Convert to fraction form
    3,928.49/5,891.49 = 1,330.82/x
  3. Step 3: Cross multiply
    3,928.49x = 5,891.49 × 1,330.82
  4. Step 4: Simplify right side
    3,928.49x = 7,840,512.72
  5. Step 5: Solve for x
    x = 7,840,512.72/3,928.49
  6. Step 6: Final answer
    x = 1,995.81

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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.