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Finding the Fourth Proportional to 18,764.10, 28,142.10 and 8,234.10

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Solution

The fourth proportional to 18,764.10, 28,142.10 and 8,234.10 is: 12,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,764.10 : 28,142.10 = 8,234.10 : x
  2. Step 2: Convert to fraction form
    18,764.10/28,142.10 = 8,234.10/x
  3. Step 3: Cross multiply
    18,764.10x = 28,142.10 × 8,234.10
  4. Step 4: Simplify right side
    18,764.10x = 231,724,865.61
  5. Step 5: Solve for x
    x = 231,724,865.61/18,764.10
  6. Step 6: Final answer
    x = 12,349.37

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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.