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Finding the Fourth Proportional to 12,620.44, 18,930.26 and 3,855

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Solution

The fourth proportional to 12,620.44, 18,930.26 and 3,855 is: 5,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.44 : 18,930.26 = 3,855 : x
  2. Step 2: Convert to fraction form
    12,620.44/18,930.26 = 3,855/x
  3. Step 3: Cross multiply
    12,620.44x = 18,930.26 × 3,855
  4. Step 4: Simplify right side
    12,620.44x = 72,976,152.30
  5. Step 5: Solve for x
    x = 72,976,152.30/12,620.44
  6. Step 6: Final answer
    x = 5,782.38

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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.