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Finding the Fourth Proportional to 18,490.14, 27,698.52 and 8,615.82

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Solution

The fourth proportional to 18,490.14, 27,698.52 and 8,615.82 is: 12,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,490.14 : 27,698.52 = 8,615.82 : x
  2. Step 2: Convert to fraction form
    18,490.14/27,698.52 = 8,615.82/x
  3. Step 3: Cross multiply
    18,490.14x = 27,698.52 × 8,615.82
  4. Step 4: Simplify right side
    18,490.14x = 238,645,462.59
  5. Step 5: Solve for x
    x = 238,645,462.59/18,490.14
  6. Step 6: Final answer
    x = 12,906.63

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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.