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Finding the Fourth Proportional to 20,173, 27,838.74 and 11,341

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Solution

The fourth proportional to 20,173, 27,838.74 and 11,341 is: 15,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173 : 27,838.74 = 11,341 : x
  2. Step 2: Convert to fraction form
    20,173/27,838.74 = 11,341/x
  3. Step 3: Cross multiply
    20,173x = 27,838.74 × 11,341
  4. Step 4: Simplify right side
    20,173x = 315,719,150.34
  5. Step 5: Solve for x
    x = 315,719,150.34/20,173
  6. Step 6: Final answer
    x = 15,650.58

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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.