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Finding the Fourth Proportional to 7,881.75, 11,816.73 and 3,719.37

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Solution

The fourth proportional to 7,881.75, 11,816.73 and 3,719.37 is: 5,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.75 : 11,816.73 = 3,719.37 : x
  2. Step 2: Convert to fraction form
    7,881.75/11,816.73 = 3,719.37/x
  3. Step 3: Cross multiply
    7,881.75x = 11,816.73 × 3,719.37
  4. Step 4: Simplify right side
    7,881.75x = 43,950,791.06
  5. Step 5: Solve for x
    x = 43,950,791.06/7,881.75
  6. Step 6: Final answer
    x = 5,576.27

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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.