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Finding the Fourth Proportional to 3,511.88, 5,267.82 and 2,141

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Solution

The fourth proportional to 3,511.88, 5,267.82 and 2,141 is: 3,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.88 : 5,267.82 = 2,141 : x
  2. Step 2: Convert to fraction form
    3,511.88/5,267.82 = 2,141/x
  3. Step 3: Cross multiply
    3,511.88x = 5,267.82 × 2,141
  4. Step 4: Simplify right side
    3,511.88x = 11,278,402.62
  5. Step 5: Solve for x
    x = 11,278,402.62/3,511.88
  6. Step 6: Final answer
    x = 3,211.50

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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.