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Finding the Fourth Proportional to 13,771.94, 20,659.75 and 5,450.01

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Solution

The fourth proportional to 13,771.94, 20,659.75 and 5,450.01 is: 8,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.94 : 20,659.75 = 5,450.01 : x
  2. Step 2: Convert to fraction form
    13,771.94/20,659.75 = 5,450.01/x
  3. Step 3: Cross multiply
    13,771.94x = 20,659.75 × 5,450.01
  4. Step 4: Simplify right side
    13,771.94x = 112,595,830.47
  5. Step 5: Solve for x
    x = 112,595,830.47/13,771.94
  6. Step 6: Final answer
    x = 8,175.74

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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.