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Finding the Fourth Proportional to 20,268, 27,969.84 and 11,436

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Solution

The fourth proportional to 20,268, 27,969.84 and 11,436 is: 15,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268 : 27,969.84 = 11,436 : x
  2. Step 2: Convert to fraction form
    20,268/27,969.84 = 11,436/x
  3. Step 3: Cross multiply
    20,268x = 27,969.84 × 11,436
  4. Step 4: Simplify right side
    20,268x = 319,863,090.24
  5. Step 5: Solve for x
    x = 319,863,090.24/20,268
  6. Step 6: Final answer
    x = 15,781.68

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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.