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Finding the Fourth Proportional to 3,891.07, 5,362 and 2,768.87

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Solution

The fourth proportional to 3,891.07, 5,362 and 2,768.87 is: 3,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.07 : 5,362 = 2,768.87 : x
  2. Step 2: Convert to fraction form
    3,891.07/5,362 = 2,768.87/x
  3. Step 3: Cross multiply
    3,891.07x = 5,362 × 2,768.87
  4. Step 4: Simplify right side
    3,891.07x = 14,846,680.94
  5. Step 5: Solve for x
    x = 14,846,680.94/3,891.07
  6. Step 6: Final answer
    x = 3,815.58

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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.