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Finding the Fourth Proportional to 2,192.39, 3,286.04 and 804.68

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Solution

The fourth proportional to 2,192.39, 3,286.04 and 804.68 is: 1,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.39 : 3,286.04 = 804.68 : x
  2. Step 2: Convert to fraction form
    2,192.39/3,286.04 = 804.68/x
  3. Step 3: Cross multiply
    2,192.39x = 3,286.04 × 804.68
  4. Step 4: Simplify right side
    2,192.39x = 2,644,214.86
  5. Step 5: Solve for x
    x = 2,644,214.86/2,192.39
  6. Step 6: Final answer
    x = 1,206.09

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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.