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Finding the Fourth Proportional to 3,205.87, 4,809.31 and 1,015.11

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Solution

The fourth proportional to 3,205.87, 4,809.31 and 1,015.11 is: 1,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.87 : 4,809.31 = 1,015.11 : x
  2. Step 2: Convert to fraction form
    3,205.87/4,809.31 = 1,015.11/x
  3. Step 3: Cross multiply
    3,205.87x = 4,809.31 × 1,015.11
  4. Step 4: Simplify right side
    3,205.87x = 4,881,976.14
  5. Step 5: Solve for x
    x = 4,881,976.14/3,205.87
  6. Step 6: Final answer
    x = 1,522.83

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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.