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Finding the Fourth Proportional to 4,969.92, 6,858.02 and 2,731.76

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Solution

The fourth proportional to 4,969.92, 6,858.02 and 2,731.76 is: 3,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.92 : 6,858.02 = 2,731.76 : x
  2. Step 2: Convert to fraction form
    4,969.92/6,858.02 = 2,731.76/x
  3. Step 3: Cross multiply
    4,969.92x = 6,858.02 × 2,731.76
  4. Step 4: Simplify right side
    4,969.92x = 18,734,464.72
  5. Step 5: Solve for x
    x = 18,734,464.72/4,969.92
  6. Step 6: Final answer
    x = 3,769.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.