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Finding the Fourth Proportional to 2,194.46, 3,290.46 and 732.80

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Solution

The fourth proportional to 2,194.46, 3,290.46 and 732.80 is: 1,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.46 : 3,290.46 = 732.80 : x
  2. Step 2: Convert to fraction form
    2,194.46/3,290.46 = 732.80/x
  3. Step 3: Cross multiply
    2,194.46x = 3,290.46 × 732.80
  4. Step 4: Simplify right side
    2,194.46x = 2,411,249.09
  5. Step 5: Solve for x
    x = 2,411,249.09/2,194.46
  6. Step 6: Final answer
    x = 1,098.79

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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.