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Finding the Fourth Proportional to 8,745.84, 13,131 and 5,449.32

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Solution

The fourth proportional to 8,745.84, 13,131 and 5,449.32 is: 8,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745.84 : 13,131 = 5,449.32 : x
  2. Step 2: Convert to fraction form
    8,745.84/13,131 = 5,449.32/x
  3. Step 3: Cross multiply
    8,745.84x = 13,131 × 5,449.32
  4. Step 4: Simplify right side
    8,745.84x = 71,555,020.92
  5. Step 5: Solve for x
    x = 71,555,020.92/8,745.84
  6. Step 6: Final answer
    x = 8,181.61

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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.