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Finding the Fourth Proportional to 13,205.94, 19,807.62 and 5,414.16

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Solution

The fourth proportional to 13,205.94, 19,807.62 and 5,414.16 is: 8,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.94 : 19,807.62 = 5,414.16 : x
  2. Step 2: Convert to fraction form
    13,205.94/19,807.62 = 5,414.16/x
  3. Step 3: Cross multiply
    13,205.94x = 19,807.62 × 5,414.16
  4. Step 4: Simplify right side
    13,205.94x = 107,241,623.90
  5. Step 5: Solve for x
    x = 107,241,623.90/13,205.94
  6. Step 6: Final answer
    x = 8,120.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.