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Finding the Fourth Proportional to 11,841.72, 17,743.14 and 8,728.08

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Solution

The fourth proportional to 11,841.72, 17,743.14 and 8,728.08 is: 13,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.72 : 17,743.14 = 8,728.08 : x
  2. Step 2: Convert to fraction form
    11,841.72/17,743.14 = 8,728.08/x
  3. Step 3: Cross multiply
    11,841.72x = 17,743.14 × 8,728.08
  4. Step 4: Simplify right side
    11,841.72x = 154,863,545.37
  5. Step 5: Solve for x
    x = 154,863,545.37/11,841.72
  6. Step 6: Final answer
    x = 13,077.79

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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.