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Finding the Fourth Proportional to 21,578.58, 32,375.63 and 7,540.68

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Solution

The fourth proportional to 21,578.58, 32,375.63 and 7,540.68 is: 11,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.58 : 32,375.63 = 7,540.68 : x
  2. Step 2: Convert to fraction form
    21,578.58/32,375.63 = 7,540.68/x
  3. Step 3: Cross multiply
    21,578.58x = 32,375.63 × 7,540.68
  4. Step 4: Simplify right side
    21,578.58x = 244,134,227.93
  5. Step 5: Solve for x
    x = 244,134,227.93/21,578.58
  6. Step 6: Final answer
    x = 11,313.73

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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.