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Finding the Fourth Proportional to 7,918.22, 11,881.46 and 5,744.88

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Solution

The fourth proportional to 7,918.22, 11,881.46 and 5,744.88 is: 8,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.22 : 11,881.46 = 5,744.88 : x
  2. Step 2: Convert to fraction form
    7,918.22/11,881.46 = 5,744.88/x
  3. Step 3: Cross multiply
    7,918.22x = 11,881.46 × 5,744.88
  4. Step 4: Simplify right side
    7,918.22x = 68,257,576.29
  5. Step 5: Solve for x
    x = 68,257,576.29/7,918.22
  6. Step 6: Final answer
    x = 8,620.32

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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.