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Finding the Fourth Proportional to 7,431.75, 11,141.82 and 3,917.16

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Solution

The fourth proportional to 7,431.75, 11,141.82 and 3,917.16 is: 5,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.75 : 11,141.82 = 3,917.16 : x
  2. Step 2: Convert to fraction form
    7,431.75/11,141.82 = 3,917.16/x
  3. Step 3: Cross multiply
    7,431.75x = 11,141.82 × 3,917.16
  4. Step 4: Simplify right side
    7,431.75x = 43,644,291.63
  5. Step 5: Solve for x
    x = 43,644,291.63/7,431.75
  6. Step 6: Final answer
    x = 5,872.68

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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.