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Finding the Fourth Proportional to 9,164.81, 13,747.22 and 3,321.42

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Solution

The fourth proportional to 9,164.81, 13,747.22 and 3,321.42 is: 4,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.81 : 13,747.22 = 3,321.42 : x
  2. Step 2: Convert to fraction form
    9,164.81/13,747.22 = 3,321.42/x
  3. Step 3: Cross multiply
    9,164.81x = 13,747.22 × 3,321.42
  4. Step 4: Simplify right side
    9,164.81x = 45,660,313.08
  5. Step 5: Solve for x
    x = 45,660,313.08/9,164.81
  6. Step 6: Final answer
    x = 4,982.13

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Double scale
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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.