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Finding the Fourth Proportional to 2,811.87, 3,875.81 and 2,251.35

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Solution

The fourth proportional to 2,811.87, 3,875.81 and 2,251.35 is: 3,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.87 : 3,875.81 = 2,251.35 : x
  2. Step 2: Convert to fraction form
    2,811.87/3,875.81 = 2,251.35/x
  3. Step 3: Cross multiply
    2,811.87x = 3,875.81 × 2,251.35
  4. Step 4: Simplify right side
    2,811.87x = 8,725,793.59
  5. Step 5: Solve for x
    x = 8,725,793.59/2,811.87
  6. Step 6: Final answer
    x = 3,103.20

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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.