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Finding the Fourth Proportional to 3,431.82, 4,735.95 and 2,015.82

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Solution

The fourth proportional to 3,431.82, 4,735.95 and 2,015.82 is: 2,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.82 : 4,735.95 = 2,015.82 : x
  2. Step 2: Convert to fraction form
    3,431.82/4,735.95 = 2,015.82/x
  3. Step 3: Cross multiply
    3,431.82x = 4,735.95 × 2,015.82
  4. Step 4: Simplify right side
    3,431.82x = 9,546,822.73
  5. Step 5: Solve for x
    x = 9,546,822.73/3,431.82
  6. Step 6: Final answer
    x = 2,781.85

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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.