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Finding the Fourth Proportional to 2,190.01, 3,286.49 and 891.71

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Solution

The fourth proportional to 2,190.01, 3,286.49 and 891.71 is: 1,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.01 : 3,286.49 = 891.71 : x
  2. Step 2: Convert to fraction form
    2,190.01/3,286.49 = 891.71/x
  3. Step 3: Cross multiply
    2,190.01x = 3,286.49 × 891.71
  4. Step 4: Simplify right side
    2,190.01x = 2,930,596.00
  5. Step 5: Solve for x
    x = 2,930,596.00/2,190.01
  6. Step 6: Final answer
    x = 1,338.17

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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.