Home / 2,110.16-3,166.14-811.32

Finding the Fourth Proportional to 2,110.16, 3,166.14 and 811.32

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Solution

The fourth proportional to 2,110.16, 3,166.14 and 811.32 is: 1,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.16 : 3,166.14 = 811.32 : x
  2. Step 2: Convert to fraction form
    2,110.16/3,166.14 = 811.32/x
  3. Step 3: Cross multiply
    2,110.16x = 3,166.14 × 811.32
  4. Step 4: Simplify right side
    2,110.16x = 2,568,752.70
  5. Step 5: Solve for x
    x = 2,568,752.70/2,110.16
  6. Step 6: Final answer
    x = 1,217.33

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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.