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Finding the Fourth Proportional to 21,805.98, 32,725.52 and 15,977.82

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Solution

The fourth proportional to 21,805.98, 32,725.52 and 15,977.82 is: 23,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.98 : 32,725.52 = 15,977.82 : x
  2. Step 2: Convert to fraction form
    21,805.98/32,725.52 = 15,977.82/x
  3. Step 3: Cross multiply
    21,805.98x = 32,725.52 × 15,977.82
  4. Step 4: Simplify right side
    21,805.98x = 522,882,467.97
  5. Step 5: Solve for x
    x = 522,882,467.97/21,805.98
  6. Step 6: Final answer
    x = 23,978.86

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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.