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Finding the Fourth Proportional to 20,367, 28,104.66 and 11,411.64

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Solution

The fourth proportional to 20,367, 28,104.66 and 11,411.64 is: 15,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,367 : 28,104.66 = 11,411.64 : x
  2. Step 2: Convert to fraction form
    20,367/28,104.66 = 11,411.64/x
  3. Step 3: Cross multiply
    20,367x = 28,104.66 × 11,411.64
  4. Step 4: Simplify right side
    20,367x = 320,720,262.24
  5. Step 5: Solve for x
    x = 320,720,262.24/20,367
  6. Step 6: Final answer
    x = 15,747.05

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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.