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Finding the Fourth Proportional to 2,191.32, 3,286.49 and 631.32

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Solution

The fourth proportional to 2,191.32, 3,286.49 and 631.32 is: 946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.32 : 3,286.49 = 631.32 : x
  2. Step 2: Convert to fraction form
    2,191.32/3,286.49 = 631.32/x
  3. Step 3: Cross multiply
    2,191.32x = 3,286.49 × 631.32
  4. Step 4: Simplify right side
    2,191.32x = 2,074,811.39
  5. Step 5: Solve for x
    x = 2,074,811.39/2,191.32
  6. Step 6: Final answer
    x = 946.83

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Double scale
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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.