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Finding the Fourth Proportional to 13,757.25, 18,989.34 and 8,789.25

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Solution

The fourth proportional to 13,757.25, 18,989.34 and 8,789.25 is: 12,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.25 : 18,989.34 = 8,789.25 : x
  2. Step 2: Convert to fraction form
    13,757.25/18,989.34 = 8,789.25/x
  3. Step 3: Cross multiply
    13,757.25x = 18,989.34 × 8,789.25
  4. Step 4: Simplify right side
    13,757.25x = 166,902,056.60
  5. Step 5: Solve for x
    x = 166,902,056.60/13,757.25
  6. Step 6: Final answer
    x = 12,131.93

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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.