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Finding the Fourth Proportional to 3,442.56, 5,163.12 and 976.72

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Solution

The fourth proportional to 3,442.56, 5,163.12 and 976.72 is: 1,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.56 : 5,163.12 = 976.72 : x
  2. Step 2: Convert to fraction form
    3,442.56/5,163.12 = 976.72/x
  3. Step 3: Cross multiply
    3,442.56x = 5,163.12 × 976.72
  4. Step 4: Simplify right side
    3,442.56x = 5,042,902.07
  5. Step 5: Solve for x
    x = 5,042,902.07/3,442.56
  6. Step 6: Final answer
    x = 1,464.87

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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.