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Finding the Fourth Proportional to 20,297.56, 30,459.96 and 7,149.88

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Solution

The fourth proportional to 20,297.56, 30,459.96 and 7,149.88 is: 10,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.56 : 30,459.96 = 7,149.88 : x
  2. Step 2: Convert to fraction form
    20,297.56/30,459.96 = 7,149.88/x
  3. Step 3: Cross multiply
    20,297.56x = 30,459.96 × 7,149.88
  4. Step 4: Simplify right side
    20,297.56x = 217,785,058.80
  5. Step 5: Solve for x
    x = 217,785,058.80/20,297.56
  6. Step 6: Final answer
    x = 10,729.62

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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.