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Finding the Fourth Proportional to 2,291.01, 3,436.09 and 731.19

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Solution

The fourth proportional to 2,291.01, 3,436.09 and 731.19 is: 1,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.01 : 3,436.09 = 731.19 : x
  2. Step 2: Convert to fraction form
    2,291.01/3,436.09 = 731.19/x
  3. Step 3: Cross multiply
    2,291.01x = 3,436.09 × 731.19
  4. Step 4: Simplify right side
    2,291.01x = 2,512,434.65
  5. Step 5: Solve for x
    x = 2,512,434.65/2,291.01
  6. Step 6: Final answer
    x = 1,096.65

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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.