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Finding the Fourth Proportional to 2,647, 3,970.48 and 798.12

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Solution

The fourth proportional to 2,647, 3,970.48 and 798.12 is: 1,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647 : 3,970.48 = 798.12 : x
  2. Step 2: Convert to fraction form
    2,647/3,970.48 = 798.12/x
  3. Step 3: Cross multiply
    2,647x = 3,970.48 × 798.12
  4. Step 4: Simplify right side
    2,647x = 3,168,919.50
  5. Step 5: Solve for x
    x = 3,168,919.50/2,647
  6. Step 6: Final answer
    x = 1,197.17

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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.