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Finding the Fourth Proportional to 18,803.76, 28,196.64 and 6,949.44

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Solution

The fourth proportional to 18,803.76, 28,196.64 and 6,949.44 is: 10,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,803.76 : 28,196.64 = 6,949.44 : x
  2. Step 2: Convert to fraction form
    18,803.76/28,196.64 = 6,949.44/x
  3. Step 3: Cross multiply
    18,803.76x = 28,196.64 × 6,949.44
  4. Step 4: Simplify right side
    18,803.76x = 195,950,857.88
  5. Step 5: Solve for x
    x = 195,950,857.88/18,803.76
  6. Step 6: Final answer
    x = 10,420.83

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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.