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Finding the Fourth Proportional to 4,942.72, 6,822.69 and 3,055.76

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Solution

The fourth proportional to 4,942.72, 6,822.69 and 3,055.76 is: 4,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.72 : 6,822.69 = 3,055.76 : x
  2. Step 2: Convert to fraction form
    4,942.72/6,822.69 = 3,055.76/x
  3. Step 3: Cross multiply
    4,942.72x = 6,822.69 × 3,055.76
  4. Step 4: Simplify right side
    4,942.72x = 20,848,469.08
  5. Step 5: Solve for x
    x = 20,848,469.08/4,942.72
  6. Step 6: Final answer
    x = 4,218.02

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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.