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Finding the Fourth Proportional to 21,397, 32,067.22 and 15,493.63

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Solution

The fourth proportional to 21,397, 32,067.22 and 15,493.63 is: 23,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397 : 32,067.22 = 15,493.63 : x
  2. Step 2: Convert to fraction form
    21,397/32,067.22 = 15,493.63/x
  3. Step 3: Cross multiply
    21,397x = 32,067.22 × 15,493.63
  4. Step 4: Simplify right side
    21,397x = 496,837,641.81
  5. Step 5: Solve for x
    x = 496,837,641.81/21,397
  6. Step 6: Final answer
    x = 23,219.97

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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.