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Finding the Fourth Proportional to 20,907, 31,371.26 and 13,891.86

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Solution

The fourth proportional to 20,907, 31,371.26 and 13,891.86 is: 20,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907 : 31,371.26 = 13,891.86 : x
  2. Step 2: Convert to fraction form
    20,907/31,371.26 = 13,891.86/x
  3. Step 3: Cross multiply
    20,907x = 31,371.26 × 13,891.86
  4. Step 4: Simplify right side
    20,907x = 435,805,082.48
  5. Step 5: Solve for x
    x = 435,805,082.48/20,907
  6. Step 6: Final answer
    x = 20,844.94

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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.