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Finding the Fourth Proportional to 4,969.84, 6,858.24 and 2,731.72

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Solution

The fourth proportional to 4,969.84, 6,858.24 and 2,731.72 is: 3,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.84 : 6,858.24 = 2,731.72 : x
  2. Step 2: Convert to fraction form
    4,969.84/6,858.24 = 2,731.72/x
  3. Step 3: Cross multiply
    4,969.84x = 6,858.24 × 2,731.72
  4. Step 4: Simplify right side
    4,969.84x = 18,734,791.37
  5. Step 5: Solve for x
    x = 18,734,791.37/4,969.84
  6. Step 6: Final answer
    x = 3,769.70

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1.5x scale

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.