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Finding the Fourth Proportional to 11,608.90, 17,411.91 and 3,817.78

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Solution

The fourth proportional to 11,608.90, 17,411.91 and 3,817.78 is: 5,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.90 : 17,411.91 = 3,817.78 : x
  2. Step 2: Convert to fraction form
    11,608.90/17,411.91 = 3,817.78/x
  3. Step 3: Cross multiply
    11,608.90x = 17,411.91 × 3,817.78
  4. Step 4: Simplify right side
    11,608.90x = 66,474,841.76
  5. Step 5: Solve for x
    x = 66,474,841.76/11,608.90
  6. Step 6: Final answer
    x = 5,726.20

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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.