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Finding the Fourth Proportional to 4,138.42, 5,711.73 and 2,811.22

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Solution

The fourth proportional to 4,138.42, 5,711.73 and 2,811.22 is: 3,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.42 : 5,711.73 = 2,811.22 : x
  2. Step 2: Convert to fraction form
    4,138.42/5,711.73 = 2,811.22/x
  3. Step 3: Cross multiply
    4,138.42x = 5,711.73 × 2,811.22
  4. Step 4: Simplify right side
    4,138.42x = 16,056,929.61
  5. Step 5: Solve for x
    x = 16,056,929.61/4,138.42
  6. Step 6: Final answer
    x = 3,879.97

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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.