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Finding the Fourth Proportional to 13,383.83, 18,468.19 and 7,414.02

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Solution

The fourth proportional to 13,383.83, 18,468.19 and 7,414.02 is: 10,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.83 : 18,468.19 = 7,414.02 : x
  2. Step 2: Convert to fraction form
    13,383.83/18,468.19 = 7,414.02/x
  3. Step 3: Cross multiply
    13,383.83x = 18,468.19 × 7,414.02
  4. Step 4: Simplify right side
    13,383.83x = 136,923,530.02
  5. Step 5: Solve for x
    x = 136,923,530.02/13,383.83
  6. Step 6: Final answer
    x = 10,230.52

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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.