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Finding the Fourth Proportional to 7,918.17, 11,881.36 and 5,744.84

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Solution

The fourth proportional to 7,918.17, 11,881.36 and 5,744.84 is: 8,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.17 : 11,881.36 = 5,744.84 : x
  2. Step 2: Convert to fraction form
    7,918.17/11,881.36 = 5,744.84/x
  3. Step 3: Cross multiply
    7,918.17x = 11,881.36 × 5,744.84
  4. Step 4: Simplify right side
    7,918.17x = 68,256,497.82
  5. Step 5: Solve for x
    x = 68,256,497.82/7,918.17
  6. Step 6: Final answer
    x = 8,620.23

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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.