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Finding the Fourth Proportional to 39,750.98, 54,855.22 and 21,846

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Solution

The fourth proportional to 39,750.98, 54,855.22 and 21,846 is: 30,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,750.98 : 54,855.22 = 21,846 : x
  2. Step 2: Convert to fraction form
    39,750.98/54,855.22 = 21,846/x
  3. Step 3: Cross multiply
    39,750.98x = 54,855.22 × 21,846
  4. Step 4: Simplify right side
    39,750.98x = 1,198,367,136.12
  5. Step 5: Solve for x
    x = 1,198,367,136.12/39,750.98
  6. Step 6: Final answer
    x = 30,146.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.