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Finding the Fourth Proportional to 20,157.81, 30,236.72 and 10,982.13

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Solution

The fourth proportional to 20,157.81, 30,236.72 and 10,982.13 is: 16,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.81 : 30,236.72 = 10,982.13 : x
  2. Step 2: Convert to fraction form
    20,157.81/30,236.72 = 10,982.13/x
  3. Step 3: Cross multiply
    20,157.81x = 30,236.72 × 10,982.13
  4. Step 4: Simplify right side
    20,157.81x = 332,063,534.90
  5. Step 5: Solve for x
    x = 332,063,534.90/20,157.81
  6. Step 6: Final answer
    x = 16,473.20

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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.