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Finding the Fourth Proportional to 8,494.26, 12,738.96 and 5,208.90

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Solution

The fourth proportional to 8,494.26, 12,738.96 and 5,208.90 is: 7,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.26 : 12,738.96 = 5,208.90 : x
  2. Step 2: Convert to fraction form
    8,494.26/12,738.96 = 5,208.90/x
  3. Step 3: Cross multiply
    8,494.26x = 12,738.96 × 5,208.90
  4. Step 4: Simplify right side
    8,494.26x = 66,355,968.74
  5. Step 5: Solve for x
    x = 66,355,968.74/8,494.26
  6. Step 6: Final answer
    x = 7,811.86

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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.