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Finding the Fourth Proportional to 18,072, 27,109.78 and 6,226.72

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Solution

The fourth proportional to 18,072, 27,109.78 and 6,226.72 is: 9,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072 : 27,109.78 = 6,226.72 : x
  2. Step 2: Convert to fraction form
    18,072/27,109.78 = 6,226.72/x
  3. Step 3: Cross multiply
    18,072x = 27,109.78 × 6,226.72
  4. Step 4: Simplify right side
    18,072x = 168,805,009.32
  5. Step 5: Solve for x
    x = 168,805,009.32/18,072
  6. Step 6: Final answer
    x = 9,340.69

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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.