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Finding the Fourth Proportional to 21,811.92, 32,729.70 and 16,891.20

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Solution

The fourth proportional to 21,811.92, 32,729.70 and 16,891.20 is: 25,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.92 : 32,729.70 = 16,891.20 : x
  2. Step 2: Convert to fraction form
    21,811.92/32,729.70 = 16,891.20/x
  3. Step 3: Cross multiply
    21,811.92x = 32,729.70 × 16,891.20
  4. Step 4: Simplify right side
    21,811.92x = 552,843,908.64
  5. Step 5: Solve for x
    x = 552,843,908.64/21,811.92
  6. Step 6: Final answer
    x = 25,345.95

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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.