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Finding the Fourth Proportional to 2,072.49, 3,109.23 and 611.60

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Solution

The fourth proportional to 2,072.49, 3,109.23 and 611.60 is: 917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.49 : 3,109.23 = 611.60 : x
  2. Step 2: Convert to fraction form
    2,072.49/3,109.23 = 611.60/x
  3. Step 3: Cross multiply
    2,072.49x = 3,109.23 × 611.60
  4. Step 4: Simplify right side
    2,072.49x = 1,901,589.52
  5. Step 5: Solve for x
    x = 1,901,589.52/2,072.49
  6. Step 6: Final answer
    x = 917.54

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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.