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Finding the Fourth Proportional to 4,687.70, 6,469.17 and 2,698.66

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Solution

The fourth proportional to 4,687.70, 6,469.17 and 2,698.66 is: 3,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.70 : 6,469.17 = 2,698.66 : x
  2. Step 2: Convert to fraction form
    4,687.70/6,469.17 = 2,698.66/x
  3. Step 3: Cross multiply
    4,687.70x = 6,469.17 × 2,698.66
  4. Step 4: Simplify right side
    4,687.70x = 17,458,057.97
  5. Step 5: Solve for x
    x = 17,458,057.97/4,687.70
  6. Step 6: Final answer
    x = 3,724.23

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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.