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Finding the Fourth Proportional to 4,619, 6,375.84 and 2,756

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Solution

The fourth proportional to 4,619, 6,375.84 and 2,756 is: 3,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619 : 6,375.84 = 2,756 : x
  2. Step 2: Convert to fraction form
    4,619/6,375.84 = 2,756/x
  3. Step 3: Cross multiply
    4,619x = 6,375.84 × 2,756
  4. Step 4: Simplify right side
    4,619x = 17,571,815.04
  5. Step 5: Solve for x
    x = 17,571,815.04/4,619
  6. Step 6: Final answer
    x = 3,804.25

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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.