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Finding the Fourth Proportional to 2,161.96, 3,243.07 and 701.26

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Solution

The fourth proportional to 2,161.96, 3,243.07 and 701.26 is: 1,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.96 : 3,243.07 = 701.26 : x
  2. Step 2: Convert to fraction form
    2,161.96/3,243.07 = 701.26/x
  3. Step 3: Cross multiply
    2,161.96x = 3,243.07 × 701.26
  4. Step 4: Simplify right side
    2,161.96x = 2,274,228.04
  5. Step 5: Solve for x
    x = 2,274,228.04/2,161.96
  6. Step 6: Final answer
    x = 1,051.93

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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.