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Finding the Fourth Proportional to 17,851.92, 26,781.80 and 7,322

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Solution

The fourth proportional to 17,851.92, 26,781.80 and 7,322 is: 10,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.92 : 26,781.80 = 7,322 : x
  2. Step 2: Convert to fraction form
    17,851.92/26,781.80 = 7,322/x
  3. Step 3: Cross multiply
    17,851.92x = 26,781.80 × 7,322
  4. Step 4: Simplify right side
    17,851.92x = 196,096,339.60
  5. Step 5: Solve for x
    x = 196,096,339.60/17,851.92
  6. Step 6: Final answer
    x = 10,984.61

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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.