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Finding the Fourth Proportional to 5,891, 8,129.77 and 3,238.60

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Solution

The fourth proportional to 5,891, 8,129.77 and 3,238.60 is: 4,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891 : 8,129.77 = 3,238.60 : x
  2. Step 2: Convert to fraction form
    5,891/8,129.77 = 3,238.60/x
  3. Step 3: Cross multiply
    5,891x = 8,129.77 × 3,238.60
  4. Step 4: Simplify right side
    5,891x = 26,329,073.12
  5. Step 5: Solve for x
    x = 26,329,073.12/5,891
  6. Step 6: Final answer
    x = 4,469.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.