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Finding the Fourth Proportional to 12,763.44, 19,147.90 and 3,878

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Solution

The fourth proportional to 12,763.44, 19,147.90 and 3,878 is: 5,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.44 : 19,147.90 = 3,878 : x
  2. Step 2: Convert to fraction form
    12,763.44/19,147.90 = 3,878/x
  3. Step 3: Cross multiply
    12,763.44x = 19,147.90 × 3,878
  4. Step 4: Simplify right side
    12,763.44x = 74,255,556.20
  5. Step 5: Solve for x
    x = 74,255,556.20/12,763.44
  6. Step 6: Final answer
    x = 5,817.83

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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.