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Finding the Fourth Proportional to 18,620.74, 27,925.17 and 6,138.43

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Solution

The fourth proportional to 18,620.74, 27,925.17 and 6,138.43 is: 9,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,620.74 : 27,925.17 = 6,138.43 : x
  2. Step 2: Convert to fraction form
    18,620.74/27,925.17 = 6,138.43/x
  3. Step 3: Cross multiply
    18,620.74x = 27,925.17 × 6,138.43
  4. Step 4: Simplify right side
    18,620.74x = 171,416,800.06
  5. Step 5: Solve for x
    x = 171,416,800.06/18,620.74
  6. Step 6: Final answer
    x = 9,205.69

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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.