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Finding the Fourth Proportional to 21,793.54, 32,659.13 and 12,414.20

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Solution

The fourth proportional to 21,793.54, 32,659.13 and 12,414.20 is: 18,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,793.54 : 32,659.13 = 12,414.20 : x
  2. Step 2: Convert to fraction form
    21,793.54/32,659.13 = 12,414.20/x
  3. Step 3: Cross multiply
    21,793.54x = 32,659.13 × 12,414.20
  4. Step 4: Simplify right side
    21,793.54x = 405,436,971.65
  5. Step 5: Solve for x
    x = 405,436,971.65/21,793.54
  6. Step 6: Final answer
    x = 18,603.54

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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.