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Finding the Fourth Proportional to 21,894.75, 32,820.17 and 8,549.37

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Solution

The fourth proportional to 21,894.75, 32,820.17 and 8,549.37 is: 12,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.75 : 32,820.17 = 8,549.37 : x
  2. Step 2: Convert to fraction form
    21,894.75/32,820.17 = 8,549.37/x
  3. Step 3: Cross multiply
    21,894.75x = 32,820.17 × 8,549.37
  4. Step 4: Simplify right side
    21,894.75x = 280,591,734.05
  5. Step 5: Solve for x
    x = 280,591,734.05/21,894.75
  6. Step 6: Final answer
    x = 12,815.48

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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.