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Finding the Fourth Proportional to 2,191.96, 3,287.94 and 731.14

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Solution

The fourth proportional to 2,191.96, 3,287.94 and 731.14 is: 1,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.96 : 3,287.94 = 731.14 : x
  2. Step 2: Convert to fraction form
    2,191.96/3,287.94 = 731.14/x
  3. Step 3: Cross multiply
    2,191.96x = 3,287.94 × 731.14
  4. Step 4: Simplify right side
    2,191.96x = 2,403,944.45
  5. Step 5: Solve for x
    x = 2,403,944.45/2,191.96
  6. Step 6: Final answer
    x = 1,096.71

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,192.96, 3,289.44 and 732.14
Similar ratio
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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.