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Finding the Fourth Proportional to 13,193.12, 18,205.95 and 7,224.63

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Solution

The fourth proportional to 13,193.12, 18,205.95 and 7,224.63 is: 9,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.12 : 18,205.95 = 7,224.63 : x
  2. Step 2: Convert to fraction form
    13,193.12/18,205.95 = 7,224.63/x
  3. Step 3: Cross multiply
    13,193.12x = 18,205.95 × 7,224.63
  4. Step 4: Simplify right side
    13,193.12x = 131,531,252.55
  5. Step 5: Solve for x
    x = 131,531,252.55/13,193.12
  6. Step 6: Final answer
    x = 9,969.69

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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.