Home / 2,146.36-3,219.78-685.17

Finding the Fourth Proportional to 2,146.36, 3,219.78 and 685.17

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Solution

The fourth proportional to 2,146.36, 3,219.78 and 685.17 is: 1,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.36 : 3,219.78 = 685.17 : x
  2. Step 2: Convert to fraction form
    2,146.36/3,219.78 = 685.17/x
  3. Step 3: Cross multiply
    2,146.36x = 3,219.78 × 685.17
  4. Step 4: Simplify right side
    2,146.36x = 2,206,096.66
  5. Step 5: Solve for x
    x = 2,206,096.66/2,146.36
  6. Step 6: Final answer
    x = 1,027.83

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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.