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Finding the Fourth Proportional to 20,414, 30,621.02 and 8,102

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Solution

The fourth proportional to 20,414, 30,621.02 and 8,102 is: 12,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414 : 30,621.02 = 8,102 : x
  2. Step 2: Convert to fraction form
    20,414/30,621.02 = 8,102/x
  3. Step 3: Cross multiply
    20,414x = 30,621.02 × 8,102
  4. Step 4: Simplify right side
    20,414x = 248,091,504.04
  5. Step 5: Solve for x
    x = 248,091,504.04/20,414
  6. Step 6: Final answer
    x = 12,153.01

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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.