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Finding the Fourth Proportional to 20,735.72, 31,096.86 and 6,881

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Solution

The fourth proportional to 20,735.72, 31,096.86 and 6,881 is: 10,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.72 : 31,096.86 = 6,881 : x
  2. Step 2: Convert to fraction form
    20,735.72/31,096.86 = 6,881/x
  3. Step 3: Cross multiply
    20,735.72x = 31,096.86 × 6,881
  4. Step 4: Simplify right side
    20,735.72x = 213,977,493.66
  5. Step 5: Solve for x
    x = 213,977,493.66/20,735.72
  6. Step 6: Final answer
    x = 10,319.27

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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.