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Finding the Fourth Proportional to 11,138, 16,709.56 and 3,842

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Solution

The fourth proportional to 11,138, 16,709.56 and 3,842 is: 5,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138 : 16,709.56 = 3,842 : x
  2. Step 2: Convert to fraction form
    11,138/16,709.56 = 3,842/x
  3. Step 3: Cross multiply
    11,138x = 16,709.56 × 3,842
  4. Step 4: Simplify right side
    11,138x = 64,198,129.52
  5. Step 5: Solve for x
    x = 64,198,129.52/11,138
  6. Step 6: Final answer
    x = 5,763.88

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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.