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Finding the Fourth Proportional to 27,857.89, 41,800.47 and 13,819.24

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Solution

The fourth proportional to 27,857.89, 41,800.47 and 13,819.24 is: 20,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.89 : 41,800.47 = 13,819.24 : x
  2. Step 2: Convert to fraction form
    27,857.89/41,800.47 = 13,819.24/x
  3. Step 3: Cross multiply
    27,857.89x = 41,800.47 × 13,819.24
  4. Step 4: Simplify right side
    27,857.89x = 577,650,727.04
  5. Step 5: Solve for x
    x = 577,650,727.04/27,857.89
  6. Step 6: Final answer
    x = 20,735.62

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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.