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Finding the Fourth Proportional to 11,657, 17,481.38 and 3,759.20

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Solution

The fourth proportional to 11,657, 17,481.38 and 3,759.20 is: 5,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657 : 17,481.38 = 3,759.20 : x
  2. Step 2: Convert to fraction form
    11,657/17,481.38 = 3,759.20/x
  3. Step 3: Cross multiply
    11,657x = 17,481.38 × 3,759.20
  4. Step 4: Simplify right side
    11,657x = 65,716,003.70
  5. Step 5: Solve for x
    x = 65,716,003.70/11,657
  6. Step 6: Final answer
    x = 5,637.47

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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.