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Finding the Fourth Proportional to 5,942.11, 8,178.96 and 5,194.21

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Solution

The fourth proportional to 5,942.11, 8,178.96 and 5,194.21 is: 7,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.11 : 8,178.96 = 5,194.21 : x
  2. Step 2: Convert to fraction form
    5,942.11/8,178.96 = 5,194.21/x
  3. Step 3: Cross multiply
    5,942.11x = 8,178.96 × 5,194.21
  4. Step 4: Simplify right side
    5,942.11x = 42,483,235.82
  5. Step 5: Solve for x
    x = 42,483,235.82/5,942.11
  6. Step 6: Final answer
    x = 7,149.52

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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.