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Finding the Fourth Proportional to 3,704.80, 5,556.72 and 1,396

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Solution

The fourth proportional to 3,704.80, 5,556.72 and 1,396 is: 2,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.80 : 5,556.72 = 1,396 : x
  2. Step 2: Convert to fraction form
    3,704.80/5,556.72 = 1,396/x
  3. Step 3: Cross multiply
    3,704.80x = 5,556.72 × 1,396
  4. Step 4: Simplify right side
    3,704.80x = 7,757,181.12
  5. Step 5: Solve for x
    x = 7,757,181.12/3,704.80
  6. Step 6: Final answer
    x = 2,093.82

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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.