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Finding the Fourth Proportional to 2,193.75, 3,291 and 961.13

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Solution

The fourth proportional to 2,193.75, 3,291 and 961.13 is: 1,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.75 : 3,291 = 961.13 : x
  2. Step 2: Convert to fraction form
    2,193.75/3,291 = 961.13/x
  3. Step 3: Cross multiply
    2,193.75x = 3,291 × 961.13
  4. Step 4: Simplify right side
    2,193.75x = 3,163,078.83
  5. Step 5: Solve for x
    x = 3,163,078.83/2,193.75
  6. Step 6: Final answer
    x = 1,441.86

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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.