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Finding the Fourth Proportional to 20,142.72, 27,794.84 and 11,643.50

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Solution

The fourth proportional to 20,142.72, 27,794.84 and 11,643.50 is: 16,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.72 : 27,794.84 = 11,643.50 : x
  2. Step 2: Convert to fraction form
    20,142.72/27,794.84 = 11,643.50/x
  3. Step 3: Cross multiply
    20,142.72x = 27,794.84 × 11,643.50
  4. Step 4: Simplify right side
    20,142.72x = 323,629,230.81
  5. Step 5: Solve for x
    x = 323,629,230.81/20,142.72
  6. Step 6: Final answer
    x = 16,066.81

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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.