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Finding the Fourth Proportional to 7,794.36, 11,684.88 and 3,408.52

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Solution

The fourth proportional to 7,794.36, 11,684.88 and 3,408.52 is: 5,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.36 : 11,684.88 = 3,408.52 : x
  2. Step 2: Convert to fraction form
    7,794.36/11,684.88 = 3,408.52/x
  3. Step 3: Cross multiply
    7,794.36x = 11,684.88 × 3,408.52
  4. Step 4: Simplify right side
    7,794.36x = 39,828,147.18
  5. Step 5: Solve for x
    x = 39,828,147.18/7,794.36
  6. Step 6: Final answer
    x = 5,109.87

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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.