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Finding the Fourth Proportional to 3,651.55, 5,476.14 and 1,185.84

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Solution

The fourth proportional to 3,651.55, 5,476.14 and 1,185.84 is: 1,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.55 : 5,476.14 = 1,185.84 : x
  2. Step 2: Convert to fraction form
    3,651.55/5,476.14 = 1,185.84/x
  3. Step 3: Cross multiply
    3,651.55x = 5,476.14 × 1,185.84
  4. Step 4: Simplify right side
    3,651.55x = 6,493,825.86
  5. Step 5: Solve for x
    x = 6,493,825.86/3,651.55
  6. Step 6: Final answer
    x = 1,778.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.