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Finding the Fourth Proportional to 2,072.97, 3,109.49 and 611.79

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Solution

The fourth proportional to 2,072.97, 3,109.49 and 611.79 is: 917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.97 : 3,109.49 = 611.79 : x
  2. Step 2: Convert to fraction form
    2,072.97/3,109.49 = 611.79/x
  3. Step 3: Cross multiply
    2,072.97x = 3,109.49 × 611.79
  4. Step 4: Simplify right side
    2,072.97x = 1,902,354.89
  5. Step 5: Solve for x
    x = 1,902,354.89/2,072.97
  6. Step 6: Final answer
    x = 917.70

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1.5x scale

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.