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Finding the Fourth Proportional to 3,874.42, 5,811.36 and 1,100.98

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Solution

The fourth proportional to 3,874.42, 5,811.36 and 1,100.98 is: 1,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.42 : 5,811.36 = 1,100.98 : x
  2. Step 2: Convert to fraction form
    3,874.42/5,811.36 = 1,100.98/x
  3. Step 3: Cross multiply
    3,874.42x = 5,811.36 × 1,100.98
  4. Step 4: Simplify right side
    3,874.42x = 6,398,191.13
  5. Step 5: Solve for x
    x = 6,398,191.13/3,874.42
  6. Step 6: Final answer
    x = 1,651.39

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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.