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Finding the Fourth Proportional to 2,193.92, 3,292.97 and 808.59

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Solution

The fourth proportional to 2,193.92, 3,292.97 and 808.59 is: 1,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.92 : 3,292.97 = 808.59 : x
  2. Step 2: Convert to fraction form
    2,193.92/3,292.97 = 808.59/x
  3. Step 3: Cross multiply
    2,193.92x = 3,292.97 × 808.59
  4. Step 4: Simplify right side
    2,193.92x = 2,662,658.57
  5. Step 5: Solve for x
    x = 2,662,658.57/2,193.92
  6. Step 6: Final answer
    x = 1,213.66

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1.5x scale

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.