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Finding the Fourth Proportional to 8,336, 12,504 and 3,408.32

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Solution

The fourth proportional to 8,336, 12,504 and 3,408.32 is: 5,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336 : 12,504 = 3,408.32 : x
  2. Step 2: Convert to fraction form
    8,336/12,504 = 3,408.32/x
  3. Step 3: Cross multiply
    8,336x = 12,504 × 3,408.32
  4. Step 4: Simplify right side
    8,336x = 42,617,633.28
  5. Step 5: Solve for x
    x = 42,617,633.28/8,336
  6. Step 6: Final answer
    x = 5,112.48

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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.