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Finding the Fourth Proportional to 36,422, 54,582.20 and 27,530

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Solution

The fourth proportional to 36,422, 54,582.20 and 27,530 is: 41,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,422 : 54,582.20 = 27,530 : x
  2. Step 2: Convert to fraction form
    36,422/54,582.20 = 27,530/x
  3. Step 3: Cross multiply
    36,422x = 54,582.20 × 27,530
  4. Step 4: Simplify right side
    36,422x = 1,502,647,966
  5. Step 5: Solve for x
    x = 1,502,647,966/36,422
  6. Step 6: Final answer
    x = 41,256.60

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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.