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Finding the Fourth Proportional to 8,382.33, 12,578.49 and 3,116.48

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Solution

The fourth proportional to 8,382.33, 12,578.49 and 3,116.48 is: 4,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.33 : 12,578.49 = 3,116.48 : x
  2. Step 2: Convert to fraction form
    8,382.33/12,578.49 = 3,116.48/x
  3. Step 3: Cross multiply
    8,382.33x = 12,578.49 × 3,116.48
  4. Step 4: Simplify right side
    8,382.33x = 39,200,549.62
  5. Step 5: Solve for x
    x = 39,200,549.62/8,382.33
  6. Step 6: Final answer
    x = 4,676.57

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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.