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Finding the Fourth Proportional to 12,100.41, 18,135 and 5,858.94

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Solution

The fourth proportional to 12,100.41, 18,135 and 5,858.94 is: 8,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.41 : 18,135 = 5,858.94 : x
  2. Step 2: Convert to fraction form
    12,100.41/18,135 = 5,858.94/x
  3. Step 3: Cross multiply
    12,100.41x = 18,135 × 5,858.94
  4. Step 4: Simplify right side
    12,100.41x = 106,251,876.90
  5. Step 5: Solve for x
    x = 106,251,876.90/12,100.41
  6. Step 6: Final answer
    x = 8,780.85

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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.