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Finding the Fourth Proportional to 11,900.68, 17,838.09 and 7,743.62

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Solution

The fourth proportional to 11,900.68, 17,838.09 and 7,743.62 is: 11,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.68 : 17,838.09 = 7,743.62 : x
  2. Step 2: Convert to fraction form
    11,900.68/17,838.09 = 7,743.62/x
  3. Step 3: Cross multiply
    11,900.68x = 17,838.09 × 7,743.62
  4. Step 4: Simplify right side
    11,900.68x = 138,131,435.08
  5. Step 5: Solve for x
    x = 138,131,435.08/11,900.68
  6. Step 6: Final answer
    x = 11,607.02

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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.