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Finding the Fourth Proportional to 2,190.40, 3,286.96 and 891.68

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Solution

The fourth proportional to 2,190.40, 3,286.96 and 891.68 is: 1,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.40 : 3,286.96 = 891.68 : x
  2. Step 2: Convert to fraction form
    2,190.40/3,286.96 = 891.68/x
  3. Step 3: Cross multiply
    2,190.40x = 3,286.96 × 891.68
  4. Step 4: Simplify right side
    2,190.40x = 2,930,916.49
  5. Step 5: Solve for x
    x = 2,930,916.49/2,190.40
  6. Step 6: Final answer
    x = 1,338.07

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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.