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Finding the Fourth Proportional to 8,396.78, 12,578.36 and 5,063.15

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Solution

The fourth proportional to 8,396.78, 12,578.36 and 5,063.15 is: 7,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.78 : 12,578.36 = 5,063.15 : x
  2. Step 2: Convert to fraction form
    8,396.78/12,578.36 = 5,063.15/x
  3. Step 3: Cross multiply
    8,396.78x = 12,578.36 × 5,063.15
  4. Step 4: Simplify right side
    8,396.78x = 63,686,129.56
  5. Step 5: Solve for x
    x = 63,686,129.56/8,396.78
  6. Step 6: Final answer
    x = 7,584.59

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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.