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Finding the Fourth Proportional to 2,161, 3,223.54 and 2,125.33

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Solution

The fourth proportional to 2,161, 3,223.54 and 2,125.33 is: 3,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161 : 3,223.54 = 2,125.33 : x
  2. Step 2: Convert to fraction form
    2,161/3,223.54 = 2,125.33/x
  3. Step 3: Cross multiply
    2,161x = 3,223.54 × 2,125.33
  4. Step 4: Simplify right side
    2,161x = 6,851,067.58
  5. Step 5: Solve for x
    x = 6,851,067.58/2,161
  6. Step 6: Final answer
    x = 3,170.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.