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Finding the Fourth Proportional to 2,072.42, 3,109.06 and 611.44

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Solution

The fourth proportional to 2,072.42, 3,109.06 and 611.44 is: 917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.42 : 3,109.06 = 611.44 : x
  2. Step 2: Convert to fraction form
    2,072.42/3,109.06 = 611.44/x
  3. Step 3: Cross multiply
    2,072.42x = 3,109.06 × 611.44
  4. Step 4: Simplify right side
    2,072.42x = 1,901,003.65
  5. Step 5: Solve for x
    x = 1,901,003.65/2,072.42
  6. Step 6: Final answer
    x = 917.29

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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.