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Finding the Fourth Proportional to 3,434, 5,150.74 and 1,093.91

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Solution

The fourth proportional to 3,434, 5,150.74 and 1,093.91 is: 1,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434 : 5,150.74 = 1,093.91 : x
  2. Step 2: Convert to fraction form
    3,434/5,150.74 = 1,093.91/x
  3. Step 3: Cross multiply
    3,434x = 5,150.74 × 1,093.91
  4. Step 4: Simplify right side
    3,434x = 5,634,445.99
  5. Step 5: Solve for x
    x = 5,634,445.99/3,434
  6. Step 6: Final answer
    x = 1,640.78

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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.