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Finding the Fourth Proportional to 7,578.41, 11,369.16 and 3,195.86

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Solution

The fourth proportional to 7,578.41, 11,369.16 and 3,195.86 is: 4,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.41 : 11,369.16 = 3,195.86 : x
  2. Step 2: Convert to fraction form
    7,578.41/11,369.16 = 3,195.86/x
  3. Step 3: Cross multiply
    7,578.41x = 11,369.16 × 3,195.86
  4. Step 4: Simplify right side
    7,578.41x = 36,334,186.83
  5. Step 5: Solve for x
    x = 36,334,186.83/7,578.41
  6. Step 6: Final answer
    x = 4,794.44

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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.