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Finding the Fourth Proportional to 26,549, 39,823.50 and 8,081

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Solution

The fourth proportional to 26,549, 39,823.50 and 8,081 is: 12,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549 : 39,823.50 = 8,081 : x
  2. Step 2: Convert to fraction form
    26,549/39,823.50 = 8,081/x
  3. Step 3: Cross multiply
    26,549x = 39,823.50 × 8,081
  4. Step 4: Simplify right side
    26,549x = 321,813,703.50
  5. Step 5: Solve for x
    x = 321,813,703.50/26,549
  6. Step 6: Final answer
    x = 12,121.50

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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.