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Finding the Fourth Proportional to 8,415.81, 12,619.26 and 4,198.41

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Solution

The fourth proportional to 8,415.81, 12,619.26 and 4,198.41 is: 6,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.81 : 12,619.26 = 4,198.41 : x
  2. Step 2: Convert to fraction form
    8,415.81/12,619.26 = 4,198.41/x
  3. Step 3: Cross multiply
    8,415.81x = 12,619.26 × 4,198.41
  4. Step 4: Simplify right side
    8,415.81x = 52,980,827.38
  5. Step 5: Solve for x
    x = 52,980,827.38/8,415.81
  6. Step 6: Final answer
    x = 6,295.39

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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.