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Finding the Fourth Proportional to 3,455.91, 5,183.87 and 1,264.86

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Solution

The fourth proportional to 3,455.91, 5,183.87 and 1,264.86 is: 1,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.91 : 5,183.87 = 1,264.86 : x
  2. Step 2: Convert to fraction form
    3,455.91/5,183.87 = 1,264.86/x
  3. Step 3: Cross multiply
    3,455.91x = 5,183.87 × 1,264.86
  4. Step 4: Simplify right side
    3,455.91x = 6,556,863.48
  5. Step 5: Solve for x
    x = 6,556,863.48/3,455.91
  6. Step 6: Final answer
    x = 1,897.29

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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.