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Finding the Fourth Proportional to 7,794.80, 11,685 and 3,113.67

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Solution

The fourth proportional to 7,794.80, 11,685 and 3,113.67 is: 4,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.80 : 11,685 = 3,113.67 : x
  2. Step 2: Convert to fraction form
    7,794.80/11,685 = 3,113.67/x
  3. Step 3: Cross multiply
    7,794.80x = 11,685 × 3,113.67
  4. Step 4: Simplify right side
    7,794.80x = 36,383,233.95
  5. Step 5: Solve for x
    x = 36,383,233.95/7,794.80
  6. Step 6: Final answer
    x = 4,667.63

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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.