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Finding the Fourth Proportional to 2,072.70, 3,109.08 and 611.86

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Solution

The fourth proportional to 2,072.70, 3,109.08 and 611.86 is: 917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.70 : 3,109.08 = 611.86 : x
  2. Step 2: Convert to fraction form
    2,072.70/3,109.08 = 611.86/x
  3. Step 3: Cross multiply
    2,072.70x = 3,109.08 × 611.86
  4. Step 4: Simplify right side
    2,072.70x = 1,902,321.69
  5. Step 5: Solve for x
    x = 1,902,321.69/2,072.70
  6. Step 6: Final answer
    x = 917.80

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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.