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Finding the Fourth Proportional to 3,704.15, 5,558.50 and 1,950.42

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Solution

The fourth proportional to 3,704.15, 5,558.50 and 1,950.42 is: 2,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.15 : 5,558.50 = 1,950.42 : x
  2. Step 2: Convert to fraction form
    3,704.15/5,558.50 = 1,950.42/x
  3. Step 3: Cross multiply
    3,704.15x = 5,558.50 × 1,950.42
  4. Step 4: Simplify right side
    3,704.15x = 10,841,409.57
  5. Step 5: Solve for x
    x = 10,841,409.57/3,704.15
  6. Step 6: Final answer
    x = 2,926.83

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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.