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Finding the Fourth Proportional to 2,209.52, 3,313.04 and 911.88

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Solution

The fourth proportional to 2,209.52, 3,313.04 and 911.88 is: 1,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.52 : 3,313.04 = 911.88 : x
  2. Step 2: Convert to fraction form
    2,209.52/3,313.04 = 911.88/x
  3. Step 3: Cross multiply
    2,209.52x = 3,313.04 × 911.88
  4. Step 4: Simplify right side
    2,209.52x = 3,021,094.92
  5. Step 5: Solve for x
    x = 3,021,094.92/2,209.52
  6. Step 6: Final answer
    x = 1,367.31

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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.