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Finding the Fourth Proportional to 18,489, 27,731.46 and 4,638

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Solution

The fourth proportional to 18,489, 27,731.46 and 4,638 is: 6,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489 : 27,731.46 = 4,638 : x
  2. Step 2: Convert to fraction form
    18,489/27,731.46 = 4,638/x
  3. Step 3: Cross multiply
    18,489x = 27,731.46 × 4,638
  4. Step 4: Simplify right side
    18,489x = 128,618,511.48
  5. Step 5: Solve for x
    x = 128,618,511.48/18,489
  6. Step 6: Final answer
    x = 6,956.49

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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.