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Finding the Fourth Proportional to 3,862.42, 5,791.20 and 1,396.78

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Solution

The fourth proportional to 3,862.42, 5,791.20 and 1,396.78 is: 2,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.42 : 5,791.20 = 1,396.78 : x
  2. Step 2: Convert to fraction form
    3,862.42/5,791.20 = 1,396.78/x
  3. Step 3: Cross multiply
    3,862.42x = 5,791.20 × 1,396.78
  4. Step 4: Simplify right side
    3,862.42x = 8,089,012.62
  5. Step 5: Solve for x
    x = 8,089,012.62/3,862.42
  6. Step 6: Final answer
    x = 2,094.29

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1.5x scale

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.