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Finding the Fourth Proportional to 3,455.64, 5,183.49 and 858.58

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Solution

The fourth proportional to 3,455.64, 5,183.49 and 858.58 is: 1,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.64 : 5,183.49 = 858.58 : x
  2. Step 2: Convert to fraction form
    3,455.64/5,183.49 = 858.58/x
  3. Step 3: Cross multiply
    3,455.64x = 5,183.49 × 858.58
  4. Step 4: Simplify right side
    3,455.64x = 4,450,431.11
  5. Step 5: Solve for x
    x = 4,450,431.11/3,455.64
  6. Step 6: Final answer
    x = 1,287.87

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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.