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Finding the Fourth Proportional to 13,192.83, 18,205.43 and 7,224.48

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Solution

The fourth proportional to 13,192.83, 18,205.43 and 7,224.48 is: 9,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.83 : 18,205.43 = 7,224.48 : x
  2. Step 2: Convert to fraction form
    13,192.83/18,205.43 = 7,224.48/x
  3. Step 3: Cross multiply
    13,192.83x = 18,205.43 × 7,224.48
  4. Step 4: Simplify right side
    13,192.83x = 131,524,728.80
  5. Step 5: Solve for x
    x = 131,524,728.80/13,192.83
  6. Step 6: Final answer
    x = 9,969.41

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