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Finding the Fourth Proportional to 2,190.82, 3,286.16 and 630.83

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Solution

The fourth proportional to 2,190.82, 3,286.16 and 630.83 is: 946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.82 : 3,286.16 = 630.83 : x
  2. Step 2: Convert to fraction form
    2,190.82/3,286.16 = 630.83/x
  3. Step 3: Cross multiply
    2,190.82x = 3,286.16 × 630.83
  4. Step 4: Simplify right side
    2,190.82x = 2,072,991.88
  5. Step 5: Solve for x
    x = 2,072,991.88/2,190.82
  6. Step 6: Final answer
    x = 946.22

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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.