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Finding the Fourth Proportional to 2,072.68, 3,109.17 and 611.94

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Solution

The fourth proportional to 2,072.68, 3,109.17 and 611.94 is: 917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.68 : 3,109.17 = 611.94 : x
  2. Step 2: Convert to fraction form
    2,072.68/3,109.17 = 611.94/x
  3. Step 3: Cross multiply
    2,072.68x = 3,109.17 × 611.94
  4. Step 4: Simplify right side
    2,072.68x = 1,902,625.49
  5. Step 5: Solve for x
    x = 1,902,625.49/2,072.68
  6. Step 6: Final answer
    x = 917.95

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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.