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Finding the Fourth Proportional to 7,161.56, 10,745.40 and 3,876.98

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Solution

The fourth proportional to 7,161.56, 10,745.40 and 3,876.98 is: 5,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.56 : 10,745.40 = 3,876.98 : x
  2. Step 2: Convert to fraction form
    7,161.56/10,745.40 = 3,876.98/x
  3. Step 3: Cross multiply
    7,161.56x = 10,745.40 × 3,876.98
  4. Step 4: Simplify right side
    7,161.56x = 41,659,700.89
  5. Step 5: Solve for x
    x = 41,659,700.89/7,161.56
  6. Step 6: Final answer
    x = 5,817.13

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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.