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Finding the Fourth Proportional to 3,783.26, 5,674.26 and 1,185.50

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Solution

The fourth proportional to 3,783.26, 5,674.26 and 1,185.50 is: 1,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.26 : 5,674.26 = 1,185.50 : x
  2. Step 2: Convert to fraction form
    3,783.26/5,674.26 = 1,185.50/x
  3. Step 3: Cross multiply
    3,783.26x = 5,674.26 × 1,185.50
  4. Step 4: Simplify right side
    3,783.26x = 6,726,835.23
  5. Step 5: Solve for x
    x = 6,726,835.23/3,783.26
  6. Step 6: Final answer
    x = 1,778.05

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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.