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Finding the Fourth Proportional to 7,881.68, 11,822.49 and 3,201.62

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Solution

The fourth proportional to 7,881.68, 11,822.49 and 3,201.62 is: 4,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.68 : 11,822.49 = 3,201.62 : x
  2. Step 2: Convert to fraction form
    7,881.68/11,822.49 = 3,201.62/x
  3. Step 3: Cross multiply
    7,881.68x = 11,822.49 × 3,201.62
  4. Step 4: Simplify right side
    7,881.68x = 37,851,120.43
  5. Step 5: Solve for x
    x = 37,851,120.43/7,881.68
  6. Step 6: Final answer
    x = 4,802.42

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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.