Home / 1,906.42-2,851.26-1,659.38

Finding the Fourth Proportional to 1,906.42, 2,851.26 and 1,659.38

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Solution

The fourth proportional to 1,906.42, 2,851.26 and 1,659.38 is: 2,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.42 : 2,851.26 = 1,659.38 : x
  2. Step 2: Convert to fraction form
    1,906.42/2,851.26 = 1,659.38/x
  3. Step 3: Cross multiply
    1,906.42x = 2,851.26 × 1,659.38
  4. Step 4: Simplify right side
    1,906.42x = 4,731,323.82
  5. Step 5: Solve for x
    x = 4,731,323.82/1,906.42
  6. Step 6: Final answer
    x = 2,481.78

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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.