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Finding the Fourth Proportional to 7,578.91, 11,369.91 and 3,196.36

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Solution

The fourth proportional to 7,578.91, 11,369.91 and 3,196.36 is: 4,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.91 : 11,369.91 = 3,196.36 : x
  2. Step 2: Convert to fraction form
    7,578.91/11,369.91 = 3,196.36/x
  3. Step 3: Cross multiply
    7,578.91x = 11,369.91 × 3,196.36
  4. Step 4: Simplify right side
    7,578.91x = 36,342,268.68
  5. Step 5: Solve for x
    x = 36,342,268.68/7,578.91
  6. Step 6: Final answer
    x = 4,795.19

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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.