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Finding the Fourth Proportional to 2,793.92, 3,851.88 and 2,006.56

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Solution

The fourth proportional to 2,793.92, 3,851.88 and 2,006.56 is: 2,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.92 : 3,851.88 = 2,006.56 : x
  2. Step 2: Convert to fraction form
    2,793.92/3,851.88 = 2,006.56/x
  3. Step 3: Cross multiply
    2,793.92x = 3,851.88 × 2,006.56
  4. Step 4: Simplify right side
    2,793.92x = 7,729,028.33
  5. Step 5: Solve for x
    x = 7,729,028.33/2,793.92
  6. Step 6: Final answer
    x = 2,766.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.