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Finding the Fourth Proportional to 21,668.91, 32,499.65 and 6,874.53

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Solution

The fourth proportional to 21,668.91, 32,499.65 and 6,874.53 is: 10,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,668.91 : 32,499.65 = 6,874.53 : x
  2. Step 2: Convert to fraction form
    21,668.91/32,499.65 = 6,874.53/x
  3. Step 3: Cross multiply
    21,668.91x = 32,499.65 × 6,874.53
  4. Step 4: Simplify right side
    21,668.91x = 223,419,622.04
  5. Step 5: Solve for x
    x = 223,419,622.04/21,668.91
  6. Step 6: Final answer
    x = 10,310.61

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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.