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Finding the Fourth Proportional to 4,287, 5,912 and 2,796.06

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Solution

The fourth proportional to 4,287, 5,912 and 2,796.06 is: 3,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287 : 5,912 = 2,796.06 : x
  2. Step 2: Convert to fraction form
    4,287/5,912 = 2,796.06/x
  3. Step 3: Cross multiply
    4,287x = 5,912 × 2,796.06
  4. Step 4: Simplify right side
    4,287x = 16,530,306.72
  5. Step 5: Solve for x
    x = 16,530,306.72/4,287
  6. Step 6: Final answer
    x = 3,855.91

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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.