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Finding the Fourth Proportional to 18,494.70, 27,753.90 and 6,807

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Solution

The fourth proportional to 18,494.70, 27,753.90 and 6,807 is: 10,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494.70 : 27,753.90 = 6,807 : x
  2. Step 2: Convert to fraction form
    18,494.70/27,753.90 = 6,807/x
  3. Step 3: Cross multiply
    18,494.70x = 27,753.90 × 6,807
  4. Step 4: Simplify right side
    18,494.70x = 188,920,797.30
  5. Step 5: Solve for x
    x = 188,920,797.30/18,494.70
  6. Step 6: Final answer
    x = 10,214.86

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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.