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Finding the Fourth Proportional to 13,374.80, 20,083.80 and 7,832.60

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Solution

The fourth proportional to 13,374.80, 20,083.80 and 7,832.60 is: 11,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.80 : 20,083.80 = 7,832.60 : x
  2. Step 2: Convert to fraction form
    13,374.80/20,083.80 = 7,832.60/x
  3. Step 3: Cross multiply
    13,374.80x = 20,083.80 × 7,832.60
  4. Step 4: Simplify right side
    13,374.80x = 157,308,371.88
  5. Step 5: Solve for x
    x = 157,308,371.88/13,374.80
  6. Step 6: Final answer
    x = 11,761.55

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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.