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Finding the Fourth Proportional to 3,181.88, 4,772.82 and 1,811

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Solution

The fourth proportional to 3,181.88, 4,772.82 and 1,811 is: 2,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.88 : 4,772.82 = 1,811 : x
  2. Step 2: Convert to fraction form
    3,181.88/4,772.82 = 1,811/x
  3. Step 3: Cross multiply
    3,181.88x = 4,772.82 × 1,811
  4. Step 4: Simplify right side
    3,181.88x = 8,643,577.02
  5. Step 5: Solve for x
    x = 8,643,577.02/3,181.88
  6. Step 6: Final answer
    x = 2,716.50

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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.