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Finding the Fourth Proportional to 2,609.46, 3,914.15 and 878.09

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Solution

The fourth proportional to 2,609.46, 3,914.15 and 878.09 is: 1,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.46 : 3,914.15 = 878.09 : x
  2. Step 2: Convert to fraction form
    2,609.46/3,914.15 = 878.09/x
  3. Step 3: Cross multiply
    2,609.46x = 3,914.15 × 878.09
  4. Step 4: Simplify right side
    2,609.46x = 3,436,952.01
  5. Step 5: Solve for x
    x = 3,436,952.01/2,609.46
  6. Step 6: Final answer
    x = 1,317.11

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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.