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Finding the Fourth Proportional to 20,996.41, 28,975.41 and 11,564.95

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Solution

The fourth proportional to 20,996.41, 28,975.41 and 11,564.95 is: 15,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.41 : 28,975.41 = 11,564.95 : x
  2. Step 2: Convert to fraction form
    20,996.41/28,975.41 = 11,564.95/x
  3. Step 3: Cross multiply
    20,996.41x = 28,975.41 × 11,564.95
  4. Step 4: Simplify right side
    20,996.41x = 335,099,167.88
  5. Step 5: Solve for x
    x = 335,099,167.88/20,996.41
  6. Step 6: Final answer
    x = 15,959.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.