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Finding the Fourth Proportional to 11,610.74, 17,418.63 and 3,819.26

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Solution

The fourth proportional to 11,610.74, 17,418.63 and 3,819.26 is: 5,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.74 : 17,418.63 = 3,819.26 : x
  2. Step 2: Convert to fraction form
    11,610.74/17,418.63 = 3,819.26/x
  3. Step 3: Cross multiply
    11,610.74x = 17,418.63 × 3,819.26
  4. Step 4: Simplify right side
    11,610.74x = 66,526,276.81
  5. Step 5: Solve for x
    x = 66,526,276.81/11,610.74
  6. Step 6: Final answer
    x = 5,729.72

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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.