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Finding the Fourth Proportional to 12,654.75, 18,982.13 and 3,420.75

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Solution

The fourth proportional to 12,654.75, 18,982.13 and 3,420.75 is: 5,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.75 : 18,982.13 = 3,420.75 : x
  2. Step 2: Convert to fraction form
    12,654.75/18,982.13 = 3,420.75/x
  3. Step 3: Cross multiply
    12,654.75x = 18,982.13 × 3,420.75
  4. Step 4: Simplify right side
    12,654.75x = 64,933,121.20
  5. Step 5: Solve for x
    x = 64,933,121.20/12,654.75
  6. Step 6: Final answer
    x = 5,131.13

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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.