Home / 2,109.36-3,164.16-810.66

Finding the Fourth Proportional to 2,109.36, 3,164.16 and 810.66

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Solution

The fourth proportional to 2,109.36, 3,164.16 and 810.66 is: 1,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.36 : 3,164.16 = 810.66 : x
  2. Step 2: Convert to fraction form
    2,109.36/3,164.16 = 810.66/x
  3. Step 3: Cross multiply
    2,109.36x = 3,164.16 × 810.66
  4. Step 4: Simplify right side
    2,109.36x = 2,565,057.95
  5. Step 5: Solve for x
    x = 2,565,057.95/2,109.36
  6. Step 6: Final answer
    x = 1,216.04

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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.