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Finding the Fourth Proportional to 10,141.89, 15,211.01 and 2,745.38

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Solution

The fourth proportional to 10,141.89, 15,211.01 and 2,745.38 is: 4,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.89 : 15,211.01 = 2,745.38 : x
  2. Step 2: Convert to fraction form
    10,141.89/15,211.01 = 2,745.38/x
  3. Step 3: Cross multiply
    10,141.89x = 15,211.01 × 2,745.38
  4. Step 4: Simplify right side
    10,141.89x = 41,759,912.85
  5. Step 5: Solve for x
    x = 41,759,912.85/10,141.89
  6. Step 6: Final answer
    x = 4,117.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.