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Finding the Fourth Proportional to 8,363.44, 12,544.77 and 3,431.86

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Solution

The fourth proportional to 8,363.44, 12,544.77 and 3,431.86 is: 5,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.44 : 12,544.77 = 3,431.86 : x
  2. Step 2: Convert to fraction form
    8,363.44/12,544.77 = 3,431.86/x
  3. Step 3: Cross multiply
    8,363.44x = 12,544.77 × 3,431.86
  4. Step 4: Simplify right side
    8,363.44x = 43,051,894.37
  5. Step 5: Solve for x
    x = 43,051,894.37/8,363.44
  6. Step 6: Final answer
    x = 5,147.63

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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.