Home / 2,195.08-3,289.16-806.50

Finding the Fourth Proportional to 2,195.08, 3,289.16 and 806.50

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Solution

The fourth proportional to 2,195.08, 3,289.16 and 806.50 is: 1,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.08 : 3,289.16 = 806.50 : x
  2. Step 2: Convert to fraction form
    2,195.08/3,289.16 = 806.50/x
  3. Step 3: Cross multiply
    2,195.08x = 3,289.16 × 806.50
  4. Step 4: Simplify right side
    2,195.08x = 2,652,707.54
  5. Step 5: Solve for x
    x = 2,652,707.54/2,195.08
  6. Step 6: Final answer
    x = 1,208.48

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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.