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Finding the Fourth Proportional to 4,591, 6,336.12 and 2,728

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Solution

The fourth proportional to 4,591, 6,336.12 and 2,728 is: 3,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591 : 6,336.12 = 2,728 : x
  2. Step 2: Convert to fraction form
    4,591/6,336.12 = 2,728/x
  3. Step 3: Cross multiply
    4,591x = 6,336.12 × 2,728
  4. Step 4: Simplify right side
    4,591x = 17,284,935.36
  5. Step 5: Solve for x
    x = 17,284,935.36/4,591
  6. Step 6: Final answer
    x = 3,764.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.