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Finding the Fourth Proportional to 20,179.68, 30,261.84 and 9,228

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Solution

The fourth proportional to 20,179.68, 30,261.84 and 9,228 is: 13,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.68 : 30,261.84 = 9,228 : x
  2. Step 2: Convert to fraction form
    20,179.68/30,261.84 = 9,228/x
  3. Step 3: Cross multiply
    20,179.68x = 30,261.84 × 9,228
  4. Step 4: Simplify right side
    20,179.68x = 279,256,259.52
  5. Step 5: Solve for x
    x = 279,256,259.52/20,179.68
  6. Step 6: Final answer
    x = 13,838.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.