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Finding the Fourth Proportional to 18,619.92, 27,923.94 and 6,137.61

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Solution

The fourth proportional to 18,619.92, 27,923.94 and 6,137.61 is: 9,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,619.92 : 27,923.94 = 6,137.61 : x
  2. Step 2: Convert to fraction form
    18,619.92/27,923.94 = 6,137.61/x
  3. Step 3: Cross multiply
    18,619.92x = 27,923.94 × 6,137.61
  4. Step 4: Simplify right side
    18,619.92x = 171,386,253.38
  5. Step 5: Solve for x
    x = 171,386,253.38/18,619.92
  6. Step 6: Final answer
    x = 9,204.46

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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.