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Finding the Fourth Proportional to 20,716.31, 31,074.47 and 6,865.31

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Solution

The fourth proportional to 20,716.31, 31,074.47 and 6,865.31 is: 10,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.31 : 31,074.47 = 6,865.31 : x
  2. Step 2: Convert to fraction form
    20,716.31/31,074.47 = 6,865.31/x
  3. Step 3: Cross multiply
    20,716.31x = 31,074.47 × 6,865.31
  4. Step 4: Simplify right side
    20,716.31x = 213,335,938.74
  5. Step 5: Solve for x
    x = 213,335,938.74/20,716.31
  6. Step 6: Final answer
    x = 10,297.97

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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.