Home / 2,161.38-3,242.26-700.78

Finding the Fourth Proportional to 2,161.38, 3,242.26 and 700.78

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Solution

The fourth proportional to 2,161.38, 3,242.26 and 700.78 is: 1,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.38 : 3,242.26 = 700.78 : x
  2. Step 2: Convert to fraction form
    2,161.38/3,242.26 = 700.78/x
  3. Step 3: Cross multiply
    2,161.38x = 3,242.26 × 700.78
  4. Step 4: Simplify right side
    2,161.38x = 2,272,110.96
  5. Step 5: Solve for x
    x = 2,272,110.96/2,161.38
  6. Step 6: Final answer
    x = 1,051.23

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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.