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Finding the Fourth Proportional to 20,146.48, 27,801.96 and 11,194

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Solution

The fourth proportional to 20,146.48, 27,801.96 and 11,194 is: 15,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.48 : 27,801.96 = 11,194 : x
  2. Step 2: Convert to fraction form
    20,146.48/27,801.96 = 11,194/x
  3. Step 3: Cross multiply
    20,146.48x = 27,801.96 × 11,194
  4. Step 4: Simplify right side
    20,146.48x = 311,215,140.24
  5. Step 5: Solve for x
    x = 311,215,140.24/20,146.48
  6. Step 6: Final answer
    x = 15,447.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.