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Finding the Fourth Proportional to 18,565.86, 27,846.05 and 5,414.70

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Solution

The fourth proportional to 18,565.86, 27,846.05 and 5,414.70 is: 8,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.86 : 27,846.05 = 5,414.70 : x
  2. Step 2: Convert to fraction form
    18,565.86/27,846.05 = 5,414.70/x
  3. Step 3: Cross multiply
    18,565.86x = 27,846.05 × 5,414.70
  4. Step 4: Simplify right side
    18,565.86x = 150,778,006.94
  5. Step 5: Solve for x
    x = 150,778,006.94/18,565.86
  6. Step 6: Final answer
    x = 8,121.25

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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.