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Finding the Fourth Proportional to 11,234.79, 16,855.16 and 3,839.22

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Solution

The fourth proportional to 11,234.79, 16,855.16 and 3,839.22 is: 5,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.79 : 16,855.16 = 3,839.22 : x
  2. Step 2: Convert to fraction form
    11,234.79/16,855.16 = 3,839.22/x
  3. Step 3: Cross multiply
    11,234.79x = 16,855.16 × 3,839.22
  4. Step 4: Simplify right side
    11,234.79x = 64,710,648.18
  5. Step 5: Solve for x
    x = 64,710,648.18/11,234.79
  6. Step 6: Final answer
    x = 5,759.84

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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.