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Finding the Fourth Proportional to 21,978.44, 30,329.44 and 12,546.60

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Solution

The fourth proportional to 21,978.44, 30,329.44 and 12,546.60 is: 17,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.44 : 30,329.44 = 12,546.60 : x
  2. Step 2: Convert to fraction form
    21,978.44/30,329.44 = 12,546.60/x
  3. Step 3: Cross multiply
    21,978.44x = 30,329.44 × 12,546.60
  4. Step 4: Simplify right side
    21,978.44x = 380,531,351.90
  5. Step 5: Solve for x
    x = 380,531,351.90/21,978.44
  6. Step 6: Final answer
    x = 17,313.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.