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Finding the Fourth Proportional to 2,209.14, 3,311.16 and 909

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Solution

The fourth proportional to 2,209.14, 3,311.16 and 909 is: 1,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.14 : 3,311.16 = 909 : x
  2. Step 2: Convert to fraction form
    2,209.14/3,311.16 = 909/x
  3. Step 3: Cross multiply
    2,209.14x = 3,311.16 × 909
  4. Step 4: Simplify right side
    2,209.14x = 3,009,844.44
  5. Step 5: Solve for x
    x = 3,009,844.44/2,209.14
  6. Step 6: Final answer
    x = 1,362.45

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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.