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Finding the Fourth Proportional to 11,441, 17,163.66 and 5,285

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Solution

The fourth proportional to 11,441, 17,163.66 and 5,285 is: 7,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441 : 17,163.66 = 5,285 : x
  2. Step 2: Convert to fraction form
    11,441/17,163.66 = 5,285/x
  3. Step 3: Cross multiply
    11,441x = 17,163.66 × 5,285
  4. Step 4: Simplify right side
    11,441x = 90,709,943.10
  5. Step 5: Solve for x
    x = 90,709,943.10/11,441
  6. Step 6: Final answer
    x = 7,928.50

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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.