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Finding the Fourth Proportional to 3,859.88, 5,790.09 and 1,911.56

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Solution

The fourth proportional to 3,859.88, 5,790.09 and 1,911.56 is: 2,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.88 : 5,790.09 = 1,911.56 : x
  2. Step 2: Convert to fraction form
    3,859.88/5,790.09 = 1,911.56/x
  3. Step 3: Cross multiply
    3,859.88x = 5,790.09 × 1,911.56
  4. Step 4: Simplify right side
    3,859.88x = 11,068,104.44
  5. Step 5: Solve for x
    x = 11,068,104.44/3,859.88
  6. Step 6: Final answer
    x = 2,867.47

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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.