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Finding the Fourth Proportional to 3,879.63, 5,817.01 and 2,825.82

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Solution

The fourth proportional to 3,879.63, 5,817.01 and 2,825.82 is: 4,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.63 : 5,817.01 = 2,825.82 : x
  2. Step 2: Convert to fraction form
    3,879.63/5,817.01 = 2,825.82/x
  3. Step 3: Cross multiply
    3,879.63x = 5,817.01 × 2,825.82
  4. Step 4: Simplify right side
    3,879.63x = 16,437,823.20
  5. Step 5: Solve for x
    x = 16,437,823.20/3,879.63
  6. Step 6: Final answer
    x = 4,236.96

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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.