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Finding the Fourth Proportional to 20,297.56, 30,369.78 and 11,982.10

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Solution

The fourth proportional to 20,297.56, 30,369.78 and 11,982.10 is: 17,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.56 : 30,369.78 = 11,982.10 : x
  2. Step 2: Convert to fraction form
    20,297.56/30,369.78 = 11,982.10/x
  3. Step 3: Cross multiply
    20,297.56x = 30,369.78 × 11,982.10
  4. Step 4: Simplify right side
    20,297.56x = 363,893,740.94
  5. Step 5: Solve for x
    x = 363,893,740.94/20,297.56
  6. Step 6: Final answer
    x = 17,927.95

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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.