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Finding the Fourth Proportional to 21,662.75, 32,489.13 and 6,868.91

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Solution

The fourth proportional to 21,662.75, 32,489.13 and 6,868.91 is: 10,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.75 : 32,489.13 = 6,868.91 : x
  2. Step 2: Convert to fraction form
    21,662.75/32,489.13 = 6,868.91/x
  3. Step 3: Cross multiply
    21,662.75x = 32,489.13 × 6,868.91
  4. Step 4: Simplify right side
    21,662.75x = 223,164,909.95
  5. Step 5: Solve for x
    x = 223,164,909.95/21,662.75
  6. Step 6: Final answer
    x = 10,301.78

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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.