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Finding the Fourth Proportional to 20,172, 27,837.36 and 11,340

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Solution

The fourth proportional to 20,172, 27,837.36 and 11,340 is: 15,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172 : 27,837.36 = 11,340 : x
  2. Step 2: Convert to fraction form
    20,172/27,837.36 = 11,340/x
  3. Step 3: Cross multiply
    20,172x = 27,837.36 × 11,340
  4. Step 4: Simplify right side
    20,172x = 315,675,662.40
  5. Step 5: Solve for x
    x = 315,675,662.40/20,172
  6. Step 6: Final answer
    x = 15,649.20

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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.