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Finding the Fourth Proportional to 21,940.32, 32,890.80 and 8,086.08

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Solution

The fourth proportional to 21,940.32, 32,890.80 and 8,086.08 is: 12,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,940.32 : 32,890.80 = 8,086.08 : x
  2. Step 2: Convert to fraction form
    21,940.32/32,890.80 = 8,086.08/x
  3. Step 3: Cross multiply
    21,940.32x = 32,890.80 × 8,086.08
  4. Step 4: Simplify right side
    21,940.32x = 265,957,640.06
  5. Step 5: Solve for x
    x = 265,957,640.06/21,940.32
  6. Step 6: Final answer
    x = 12,121.87

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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.