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Finding the Fourth Proportional to 2,072.28, 3,108.54 and 611.46

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Solution

The fourth proportional to 2,072.28, 3,108.54 and 611.46 is: 917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.28 : 3,108.54 = 611.46 : x
  2. Step 2: Convert to fraction form
    2,072.28/3,108.54 = 611.46/x
  3. Step 3: Cross multiply
    2,072.28x = 3,108.54 × 611.46
  4. Step 4: Simplify right side
    2,072.28x = 1,900,747.87
  5. Step 5: Solve for x
    x = 1,900,747.87/2,072.28
  6. Step 6: Final answer
    x = 917.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.