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Finding the Fourth Proportional to 17,761.96, 26,636 and 6,662.60

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Solution

The fourth proportional to 17,761.96, 26,636 and 6,662.60 is: 9,991.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.96 : 26,636 = 6,662.60 : x
  2. Step 2: Convert to fraction form
    17,761.96/26,636 = 6,662.60/x
  3. Step 3: Cross multiply
    17,761.96x = 26,636 × 6,662.60
  4. Step 4: Simplify right side
    17,761.96x = 177,465,013.60
  5. Step 5: Solve for x
    x = 177,465,013.60/17,761.96
  6. Step 6: Final answer
    x = 9,991.30

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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.