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Finding the Fourth Proportional to 2,194.92, 3,292.39 and 551.47

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Solution

The fourth proportional to 2,194.92, 3,292.39 and 551.47 is: 827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.92 : 3,292.39 = 551.47 : x
  2. Step 2: Convert to fraction form
    2,194.92/3,292.39 = 551.47/x
  3. Step 3: Cross multiply
    2,194.92x = 3,292.39 × 551.47
  4. Step 4: Simplify right side
    2,194.92x = 1,815,654.31
  5. Step 5: Solve for x
    x = 1,815,654.31/2,194.92
  6. Step 6: Final answer
    x = 827.21

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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.