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Finding the Fourth Proportional to 7,795.70, 11,698.67 and 2,865.38

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Solution

The fourth proportional to 7,795.70, 11,698.67 and 2,865.38 is: 4,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.70 : 11,698.67 = 2,865.38 : x
  2. Step 2: Convert to fraction form
    7,795.70/11,698.67 = 2,865.38/x
  3. Step 3: Cross multiply
    7,795.70x = 11,698.67 × 2,865.38
  4. Step 4: Simplify right side
    7,795.70x = 33,521,135.04
  5. Step 5: Solve for x
    x = 33,521,135.04/7,795.70
  6. Step 6: Final answer
    x = 4,299.95

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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.