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Finding the Fourth Proportional to 21,811.80, 32,731.20 and 8,662.80

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Solution

The fourth proportional to 21,811.80, 32,731.20 and 8,662.80 is: 12,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.80 : 32,731.20 = 8,662.80 : x
  2. Step 2: Convert to fraction form
    21,811.80/32,731.20 = 8,662.80/x
  3. Step 3: Cross multiply
    21,811.80x = 32,731.20 × 8,662.80
  4. Step 4: Simplify right side
    21,811.80x = 283,543,839.36
  5. Step 5: Solve for x
    x = 283,543,839.36/21,811.80
  6. Step 6: Final answer
    x = 12,999.56

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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.