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Finding the Fourth Proportional to 2,192.84, 3,286.33 and 804.88

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Solution

The fourth proportional to 2,192.84, 3,286.33 and 804.88 is: 1,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.84 : 3,286.33 = 804.88 : x
  2. Step 2: Convert to fraction form
    2,192.84/3,286.33 = 804.88/x
  3. Step 3: Cross multiply
    2,192.84x = 3,286.33 × 804.88
  4. Step 4: Simplify right side
    2,192.84x = 2,645,101.29
  5. Step 5: Solve for x
    x = 2,645,101.29/2,192.84
  6. Step 6: Final answer
    x = 1,206.24

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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.