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Finding the Fourth Proportional to 3,455.76, 5,183.70 and 858.70

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Solution

The fourth proportional to 3,455.76, 5,183.70 and 858.70 is: 1,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.76 : 5,183.70 = 858.70 : x
  2. Step 2: Convert to fraction form
    3,455.76/5,183.70 = 858.70/x
  3. Step 3: Cross multiply
    3,455.76x = 5,183.70 × 858.70
  4. Step 4: Simplify right side
    3,455.76x = 4,451,246.45
  5. Step 5: Solve for x
    x = 4,451,246.45/3,455.76
  6. Step 6: Final answer
    x = 1,288.06

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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.