Home / 2,116.26-3,174.75-817.38

Finding the Fourth Proportional to 2,116.26, 3,174.75 and 817.38

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Solution

The fourth proportional to 2,116.26, 3,174.75 and 817.38 is: 1,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.26 : 3,174.75 = 817.38 : x
  2. Step 2: Convert to fraction form
    2,116.26/3,174.75 = 817.38/x
  3. Step 3: Cross multiply
    2,116.26x = 3,174.75 × 817.38
  4. Step 4: Simplify right side
    2,116.26x = 2,594,977.16
  5. Step 5: Solve for x
    x = 2,594,977.16/2,116.26
  6. Step 6: Final answer
    x = 1,226.21

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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.