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Finding the Fourth Proportional to 20,054.56, 30,084 and 8,361.28

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Solution

The fourth proportional to 20,054.56, 30,084 and 8,361.28 is: 12,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.56 : 30,084 = 8,361.28 : x
  2. Step 2: Convert to fraction form
    20,054.56/30,084 = 8,361.28/x
  3. Step 3: Cross multiply
    20,054.56x = 30,084 × 8,361.28
  4. Step 4: Simplify right side
    20,054.56x = 251,540,747.52
  5. Step 5: Solve for x
    x = 251,540,747.52/20,054.56
  6. Step 6: Final answer
    x = 12,542.82

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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.