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Finding the Fourth Proportional to 13,857.97, 20,772.44 and 6,456.33

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Solution

The fourth proportional to 13,857.97, 20,772.44 and 6,456.33 is: 9,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.97 : 20,772.44 = 6,456.33 : x
  2. Step 2: Convert to fraction form
    13,857.97/20,772.44 = 6,456.33/x
  3. Step 3: Cross multiply
    13,857.97x = 20,772.44 × 6,456.33
  4. Step 4: Simplify right side
    13,857.97x = 134,113,727.55
  5. Step 5: Solve for x
    x = 134,113,727.55/13,857.97
  6. Step 6: Final answer
    x = 9,677.73

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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.