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Finding the Fourth Proportional to 27,291, 40,936.50 and 10,886.52

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Solution

The fourth proportional to 27,291, 40,936.50 and 10,886.52 is: 16,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,291 : 40,936.50 = 10,886.52 : x
  2. Step 2: Convert to fraction form
    27,291/40,936.50 = 10,886.52/x
  3. Step 3: Cross multiply
    27,291x = 40,936.50 × 10,886.52
  4. Step 4: Simplify right side
    27,291x = 445,656,025.98
  5. Step 5: Solve for x
    x = 445,656,025.98/27,291
  6. Step 6: Final answer
    x = 16,329.78

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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.