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Finding the Fourth Proportional to 11,768.44, 17,657.22 and 5,189.98

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Solution

The fourth proportional to 11,768.44, 17,657.22 and 5,189.98 is: 7,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.44 : 17,657.22 = 5,189.98 : x
  2. Step 2: Convert to fraction form
    11,768.44/17,657.22 = 5,189.98/x
  3. Step 3: Cross multiply
    11,768.44x = 17,657.22 × 5,189.98
  4. Step 4: Simplify right side
    11,768.44x = 91,640,618.66
  5. Step 5: Solve for x
    x = 91,640,618.66/11,768.44
  6. Step 6: Final answer
    x = 7,786.98

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1.5x scale

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.