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Finding the Fourth Proportional to 11,940.83, 17,911.22 and 3,175.75

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Solution

The fourth proportional to 11,940.83, 17,911.22 and 3,175.75 is: 4,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.83 : 17,911.22 = 3,175.75 : x
  2. Step 2: Convert to fraction form
    11,940.83/17,911.22 = 3,175.75/x
  3. Step 3: Cross multiply
    11,940.83x = 17,911.22 × 3,175.75
  4. Step 4: Simplify right side
    11,940.83x = 56,881,496.26
  5. Step 5: Solve for x
    x = 56,881,496.26/11,940.83
  6. Step 6: Final answer
    x = 4,763.62

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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.