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Finding the Fourth Proportional to 20,958.73, 31,431.41 and 6,916.14

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Solution

The fourth proportional to 20,958.73, 31,431.41 and 6,916.14 is: 10,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958.73 : 31,431.41 = 6,916.14 : x
  2. Step 2: Convert to fraction form
    20,958.73/31,431.41 = 6,916.14/x
  3. Step 3: Cross multiply
    20,958.73x = 31,431.41 × 6,916.14
  4. Step 4: Simplify right side
    20,958.73x = 217,383,997.38
  5. Step 5: Solve for x
    x = 217,383,997.38/20,958.73
  6. Step 6: Final answer
    x = 10,372.00

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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.