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Finding the Fourth Proportional to 21,910.80, 32,866.20 and 10,819.20

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Solution

The fourth proportional to 21,910.80, 32,866.20 and 10,819.20 is: 16,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.80 : 32,866.20 = 10,819.20 : x
  2. Step 2: Convert to fraction form
    21,910.80/32,866.20 = 10,819.20/x
  3. Step 3: Cross multiply
    21,910.80x = 32,866.20 × 10,819.20
  4. Step 4: Simplify right side
    21,910.80x = 355,585,991.04
  5. Step 5: Solve for x
    x = 355,585,991.04/21,910.80
  6. Step 6: Final answer
    x = 16,228.80

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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.