Home / 2,709.27-3,738.78-1,647

Finding the Fourth Proportional to 2,709.27, 3,738.78 and 1,647

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Solution

The fourth proportional to 2,709.27, 3,738.78 and 1,647 is: 2,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.27 : 3,738.78 = 1,647 : x
  2. Step 2: Convert to fraction form
    2,709.27/3,738.78 = 1,647/x
  3. Step 3: Cross multiply
    2,709.27x = 3,738.78 × 1,647
  4. Step 4: Simplify right side
    2,709.27x = 6,157,770.66
  5. Step 5: Solve for x
    x = 6,157,770.66/2,709.27
  6. Step 6: Final answer
    x = 2,272.85

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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.