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Finding the Fourth Proportional to 20,116, 27,760.08 and 11,284

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Solution

The fourth proportional to 20,116, 27,760.08 and 11,284 is: 15,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116 : 27,760.08 = 11,284 : x
  2. Step 2: Convert to fraction form
    20,116/27,760.08 = 11,284/x
  3. Step 3: Cross multiply
    20,116x = 27,760.08 × 11,284
  4. Step 4: Simplify right side
    20,116x = 313,244,742.72
  5. Step 5: Solve for x
    x = 313,244,742.72/20,116
  6. Step 6: Final answer
    x = 15,571.92

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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.