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Finding the Fourth Proportional to 20,138.16, 30,163.44 and 9,728

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Solution

The fourth proportional to 20,138.16, 30,163.44 and 9,728 is: 14,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.16 : 30,163.44 = 9,728 : x
  2. Step 2: Convert to fraction form
    20,138.16/30,163.44 = 9,728/x
  3. Step 3: Cross multiply
    20,138.16x = 30,163.44 × 9,728
  4. Step 4: Simplify right side
    20,138.16x = 293,429,944.32
  5. Step 5: Solve for x
    x = 293,429,944.32/20,138.16
  6. Step 6: Final answer
    x = 14,570.84

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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.