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Finding the Fourth Proportional to 11,138, 15,370.44 and 6,661.94

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Solution

The fourth proportional to 11,138, 15,370.44 and 6,661.94 is: 9,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138 : 15,370.44 = 6,661.94 : x
  2. Step 2: Convert to fraction form
    11,138/15,370.44 = 6,661.94/x
  3. Step 3: Cross multiply
    11,138x = 15,370.44 × 6,661.94
  4. Step 4: Simplify right side
    11,138x = 102,396,949.05
  5. Step 5: Solve for x
    x = 102,396,949.05/11,138
  6. Step 6: Final answer
    x = 9,193.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.