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Finding the Fourth Proportional to 18,962, 28,453.24 and 9,234

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Solution

The fourth proportional to 18,962, 28,453.24 and 9,234 is: 13,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,962 : 28,453.24 = 9,234 : x
  2. Step 2: Convert to fraction form
    18,962/28,453.24 = 9,234/x
  3. Step 3: Cross multiply
    18,962x = 28,453.24 × 9,234
  4. Step 4: Simplify right side
    18,962x = 262,737,218.16
  5. Step 5: Solve for x
    x = 262,737,218.16/18,962
  6. Step 6: Final answer
    x = 13,855.99

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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.