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Finding the Fourth Proportional to 3,909.91, 5,858.04 and 3,256

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Solution

The fourth proportional to 3,909.91, 5,858.04 and 3,256 is: 4,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.91 : 5,858.04 = 3,256 : x
  2. Step 2: Convert to fraction form
    3,909.91/5,858.04 = 3,256/x
  3. Step 3: Cross multiply
    3,909.91x = 5,858.04 × 3,256
  4. Step 4: Simplify right side
    3,909.91x = 19,073,778.24
  5. Step 5: Solve for x
    x = 19,073,778.24/3,909.91
  6. Step 6: Final answer
    x = 4,878.32

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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.