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Finding the Fourth Proportional to 27,081, 40,625.39 and 8,362.64

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Solution

The fourth proportional to 27,081, 40,625.39 and 8,362.64 is: 12,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,081 : 40,625.39 = 8,362.64 : x
  2. Step 2: Convert to fraction form
    27,081/40,625.39 = 8,362.64/x
  3. Step 3: Cross multiply
    27,081x = 40,625.39 × 8,362.64
  4. Step 4: Simplify right side
    27,081x = 339,735,511.43
  5. Step 5: Solve for x
    x = 339,735,511.43/27,081
  6. Step 6: Final answer
    x = 12,545.16

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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.