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Finding the Fourth Proportional to 12,643.74, 18,968.49 and 3,879.90

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Solution

The fourth proportional to 12,643.74, 18,968.49 and 3,879.90 is: 5,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.74 : 18,968.49 = 3,879.90 : x
  2. Step 2: Convert to fraction form
    12,643.74/18,968.49 = 3,879.90/x
  3. Step 3: Cross multiply
    12,643.74x = 18,968.49 × 3,879.90
  4. Step 4: Simplify right side
    12,643.74x = 73,595,844.35
  5. Step 5: Solve for x
    x = 73,595,844.35/12,643.74
  6. Step 6: Final answer
    x = 5,820.73

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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.