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Finding the Fourth Proportional to 18,563.10, 27,848.70 and 5,414.40

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Solution

The fourth proportional to 18,563.10, 27,848.70 and 5,414.40 is: 8,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.10 : 27,848.70 = 5,414.40 : x
  2. Step 2: Convert to fraction form
    18,563.10/27,848.70 = 5,414.40/x
  3. Step 3: Cross multiply
    18,563.10x = 27,848.70 × 5,414.40
  4. Step 4: Simplify right side
    18,563.10x = 150,784,001.28
  5. Step 5: Solve for x
    x = 150,784,001.28/18,563.10
  6. Step 6: Final answer
    x = 8,122.78

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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.