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Finding the Fourth Proportional to 21,940.80, 32,911.20 and 10,849.20

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Solution

The fourth proportional to 21,940.80, 32,911.20 and 10,849.20 is: 16,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,940.80 : 32,911.20 = 10,849.20 : x
  2. Step 2: Convert to fraction form
    21,940.80/32,911.20 = 10,849.20/x
  3. Step 3: Cross multiply
    21,940.80x = 32,911.20 × 10,849.20
  4. Step 4: Simplify right side
    21,940.80x = 357,060,191.04
  5. Step 5: Solve for x
    x = 357,060,191.04/21,940.80
  6. Step 6: Final answer
    x = 16,273.80

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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.