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Finding the Fourth Proportional to 3,455.75, 5,183.61 and 858.69

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Solution

The fourth proportional to 3,455.75, 5,183.61 and 858.69 is: 1,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.75 : 5,183.61 = 858.69 : x
  2. Step 2: Convert to fraction form
    3,455.75/5,183.61 = 858.69/x
  3. Step 3: Cross multiply
    3,455.75x = 5,183.61 × 858.69
  4. Step 4: Simplify right side
    3,455.75x = 4,451,114.07
  5. Step 5: Solve for x
    x = 4,451,114.07/3,455.75
  6. Step 6: Final answer
    x = 1,288.03

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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.