Home / 4,736-7,105.36-1,616.72

Finding the Fourth Proportional to 4,736, 7,105.36 and 1,616.72

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Solution

The fourth proportional to 4,736, 7,105.36 and 1,616.72 is: 2,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736 : 7,105.36 = 1,616.72 : x
  2. Step 2: Convert to fraction form
    4,736/7,105.36 = 1,616.72/x
  3. Step 3: Cross multiply
    4,736x = 7,105.36 × 1,616.72
  4. Step 4: Simplify right side
    4,736x = 11,487,377.62
  5. Step 5: Solve for x
    x = 11,487,377.62/4,736
  6. Step 6: Final answer
    x = 2,425.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.