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Finding the Fourth Proportional to 2,109.32, 3,163.74 and 810.92

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Solution

The fourth proportional to 2,109.32, 3,163.74 and 810.92 is: 1,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.32 : 3,163.74 = 810.92 : x
  2. Step 2: Convert to fraction form
    2,109.32/3,163.74 = 810.92/x
  3. Step 3: Cross multiply
    2,109.32x = 3,163.74 × 810.92
  4. Step 4: Simplify right side
    2,109.32x = 2,565,540.04
  5. Step 5: Solve for x
    x = 2,565,540.04/2,109.32
  6. Step 6: Final answer
    x = 1,216.29

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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.