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Finding the Fourth Proportional to 13,893.69, 20,840.57 and 3,505.44

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Solution

The fourth proportional to 13,893.69, 20,840.57 and 3,505.44 is: 5,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.69 : 20,840.57 = 3,505.44 : x
  2. Step 2: Convert to fraction form
    13,893.69/20,840.57 = 3,505.44/x
  3. Step 3: Cross multiply
    13,893.69x = 20,840.57 × 3,505.44
  4. Step 4: Simplify right side
    13,893.69x = 73,055,350.17
  5. Step 5: Solve for x
    x = 73,055,350.17/13,893.69
  6. Step 6: Final answer
    x = 5,258.17

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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.