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Finding the Fourth Proportional to 12,578.89, 18,868.39 and 3,813.88

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Solution

The fourth proportional to 12,578.89, 18,868.39 and 3,813.88 is: 5,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.89 : 18,868.39 = 3,813.88 : x
  2. Step 2: Convert to fraction form
    12,578.89/18,868.39 = 3,813.88/x
  3. Step 3: Cross multiply
    12,578.89x = 18,868.39 × 3,813.88
  4. Step 4: Simplify right side
    12,578.89x = 71,961,756.18
  5. Step 5: Solve for x
    x = 71,961,756.18/12,578.89
  6. Step 6: Final answer
    x = 5,720.84

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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.