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Finding the Fourth Proportional to 10,082, 15,123 and 3,926

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Solution

The fourth proportional to 10,082, 15,123 and 3,926 is: 5,889

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082 : 15,123 = 3,926 : x
  2. Step 2: Convert to fraction form
    10,082/15,123 = 3,926/x
  3. Step 3: Cross multiply
    10,082x = 15,123 × 3,926
  4. Step 4: Simplify right side
    10,082x = 59,372,898
  5. Step 5: Solve for x
    x = 59,372,898/10,082
  6. Step 6: Final answer
    x = 5,889

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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.