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Finding the Fourth Proportional to 2,190.89, 3,286.79 and 804.17

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Solution

The fourth proportional to 2,190.89, 3,286.79 and 804.17 is: 1,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.89 : 3,286.79 = 804.17 : x
  2. Step 2: Convert to fraction form
    2,190.89/3,286.79 = 804.17/x
  3. Step 3: Cross multiply
    2,190.89x = 3,286.79 × 804.17
  4. Step 4: Simplify right side
    2,190.89x = 2,643,148.14
  5. Step 5: Solve for x
    x = 2,643,148.14/2,190.89
  6. Step 6: Final answer
    x = 1,206.43

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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.