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Finding the Fourth Proportional to 8,494.35, 12,736.35 and 3,813.45

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Solution

The fourth proportional to 8,494.35, 12,736.35 and 3,813.45 is: 5,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.35 : 12,736.35 = 3,813.45 : x
  2. Step 2: Convert to fraction form
    8,494.35/12,736.35 = 3,813.45/x
  3. Step 3: Cross multiply
    8,494.35x = 12,736.35 × 3,813.45
  4. Step 4: Simplify right side
    8,494.35x = 48,569,433.91
  5. Step 5: Solve for x
    x = 48,569,433.91/8,494.35
  6. Step 6: Final answer
    x = 5,717.85

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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.