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Finding the Fourth Proportional to 13,161.95, 18,163.73 and 7,194

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Solution

The fourth proportional to 13,161.95, 18,163.73 and 7,194 is: 9,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.95 : 18,163.73 = 7,194 : x
  2. Step 2: Convert to fraction form
    13,161.95/18,163.73 = 7,194/x
  3. Step 3: Cross multiply
    13,161.95x = 18,163.73 × 7,194
  4. Step 4: Simplify right side
    13,161.95x = 130,669,873.62
  5. Step 5: Solve for x
    x = 130,669,873.62/13,161.95
  6. Step 6: Final answer
    x = 9,927.85

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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.