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Finding the Fourth Proportional to 11,226, 16,846.68 and 3,930

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Solution

The fourth proportional to 11,226, 16,846.68 and 3,930 is: 5,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226 : 16,846.68 = 3,930 : x
  2. Step 2: Convert to fraction form
    11,226/16,846.68 = 3,930/x
  3. Step 3: Cross multiply
    11,226x = 16,846.68 × 3,930
  4. Step 4: Simplify right side
    11,226x = 66,207,452.40
  5. Step 5: Solve for x
    x = 66,207,452.40/11,226
  6. Step 6: Final answer
    x = 5,897.69

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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.