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Finding the Fourth Proportional to 2,191.96, 3,288 and 731.06

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Solution

The fourth proportional to 2,191.96, 3,288 and 731.06 is: 1,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.96 : 3,288 = 731.06 : x
  2. Step 2: Convert to fraction form
    2,191.96/3,288 = 731.06/x
  3. Step 3: Cross multiply
    2,191.96x = 3,288 × 731.06
  4. Step 4: Simplify right side
    2,191.96x = 2,403,725.28
  5. Step 5: Solve for x
    x = 2,403,725.28/2,191.96
  6. Step 6: Final answer
    x = 1,096.61

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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.