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Finding the Fourth Proportional to 27,871.78, 41,785.80 and 19,080.04

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Solution

The fourth proportional to 27,871.78, 41,785.80 and 19,080.04 is: 28,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.78 : 41,785.80 = 19,080.04 : x
  2. Step 2: Convert to fraction form
    27,871.78/41,785.80 = 19,080.04/x
  3. Step 3: Cross multiply
    27,871.78x = 41,785.80 × 19,080.04
  4. Step 4: Simplify right side
    27,871.78x = 797,274,735.43
  5. Step 5: Solve for x
    x = 797,274,735.43/27,871.78
  6. Step 6: Final answer
    x = 28,605.09

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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.