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Finding the Fourth Proportional to 13,383.92, 20,076.05 and 6,364.60

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Solution

The fourth proportional to 13,383.92, 20,076.05 and 6,364.60 is: 9,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.92 : 20,076.05 = 6,364.60 : x
  2. Step 2: Convert to fraction form
    13,383.92/20,076.05 = 6,364.60/x
  3. Step 3: Cross multiply
    13,383.92x = 20,076.05 × 6,364.60
  4. Step 4: Simplify right side
    13,383.92x = 127,775,993.55
  5. Step 5: Solve for x
    x = 127,775,993.55/13,383.92
  6. Step 6: Final answer
    x = 9,546.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.