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Finding the Fourth Proportional to 11,481.39, 17,221.68 and 3,690

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Solution

The fourth proportional to 11,481.39, 17,221.68 and 3,690 is: 5,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.39 : 17,221.68 = 3,690 : x
  2. Step 2: Convert to fraction form
    11,481.39/17,221.68 = 3,690/x
  3. Step 3: Cross multiply
    11,481.39x = 17,221.68 × 3,690
  4. Step 4: Simplify right side
    11,481.39x = 63,547,999.20
  5. Step 5: Solve for x
    x = 63,547,999.20/11,481.39
  6. Step 6: Final answer
    x = 5,534.87

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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.