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Finding the Fourth Proportional to 2,072.68, 3,108.96 and 611.86

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Solution

The fourth proportional to 2,072.68, 3,108.96 and 611.86 is: 917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.68 : 3,108.96 = 611.86 : x
  2. Step 2: Convert to fraction form
    2,072.68/3,108.96 = 611.86/x
  3. Step 3: Cross multiply
    2,072.68x = 3,108.96 × 611.86
  4. Step 4: Simplify right side
    2,072.68x = 1,902,248.27
  5. Step 5: Solve for x
    x = 1,902,248.27/2,072.68
  6. Step 6: Final answer
    x = 917.77

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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.