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Finding the Fourth Proportional to 20,787, 31,180.77 and 6,936

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Solution

The fourth proportional to 20,787, 31,180.77 and 6,936 is: 10,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787 : 31,180.77 = 6,936 : x
  2. Step 2: Convert to fraction form
    20,787/31,180.77 = 6,936/x
  3. Step 3: Cross multiply
    20,787x = 31,180.77 × 6,936
  4. Step 4: Simplify right side
    20,787x = 216,269,820.72
  5. Step 5: Solve for x
    x = 216,269,820.72/20,787
  6. Step 6: Final answer
    x = 10,404.09

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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.