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Finding the Fourth Proportional to 5,195, 7,794.78 and 2,729.25

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Solution

The fourth proportional to 5,195, 7,794.78 and 2,729.25 is: 4,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195 : 7,794.78 = 2,729.25 : x
  2. Step 2: Convert to fraction form
    5,195/7,794.78 = 2,729.25/x
  3. Step 3: Cross multiply
    5,195x = 7,794.78 × 2,729.25
  4. Step 4: Simplify right side
    5,195x = 21,273,903.32
  5. Step 5: Solve for x
    x = 21,273,903.32/5,195
  6. Step 6: Final answer
    x = 4,095.07

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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.