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Finding the Fourth Proportional to 21,694.80, 32,542.20 and 8,540

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Solution

The fourth proportional to 21,694.80, 32,542.20 and 8,540 is: 12,810

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.80 : 32,542.20 = 8,540 : x
  2. Step 2: Convert to fraction form
    21,694.80/32,542.20 = 8,540/x
  3. Step 3: Cross multiply
    21,694.80x = 32,542.20 × 8,540
  4. Step 4: Simplify right side
    21,694.80x = 277,910,388
  5. Step 5: Solve for x
    x = 277,910,388/21,694.80
  6. Step 6: Final answer
    x = 12,810

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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.