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Finding the Fourth Proportional to 27,855.98, 41,787.88 and 8,135.98

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Solution

The fourth proportional to 27,855.98, 41,787.88 and 8,135.98 is: 12,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.98 : 41,787.88 = 8,135.98 : x
  2. Step 2: Convert to fraction form
    27,855.98/41,787.88 = 8,135.98/x
  3. Step 3: Cross multiply
    27,855.98x = 41,787.88 × 8,135.98
  4. Step 4: Simplify right side
    27,855.98x = 339,985,355.92
  5. Step 5: Solve for x
    x = 339,985,355.92/27,855.98
  6. Step 6: Final answer
    x = 12,205.11

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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.