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Finding the Fourth Proportional to 3,876.31, 5,811.22 and 1,797.80

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Solution

The fourth proportional to 3,876.31, 5,811.22 and 1,797.80 is: 2,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.31 : 5,811.22 = 1,797.80 : x
  2. Step 2: Convert to fraction form
    3,876.31/5,811.22 = 1,797.80/x
  3. Step 3: Cross multiply
    3,876.31x = 5,811.22 × 1,797.80
  4. Step 4: Simplify right side
    3,876.31x = 10,447,373.27
  5. Step 5: Solve for x
    x = 10,447,373.27/3,876.31
  6. Step 6: Final answer
    x = 2,695.19

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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.