Home / 2,142.09-3,213.23-681.26

Finding the Fourth Proportional to 2,142.09, 3,213.23 and 681.26

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Solution

The fourth proportional to 2,142.09, 3,213.23 and 681.26 is: 1,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.09 : 3,213.23 = 681.26 : x
  2. Step 2: Convert to fraction form
    2,142.09/3,213.23 = 681.26/x
  3. Step 3: Cross multiply
    2,142.09x = 3,213.23 × 681.26
  4. Step 4: Simplify right side
    2,142.09x = 2,189,030.71
  5. Step 5: Solve for x
    x = 2,189,030.71/2,142.09
  6. Step 6: Final answer
    x = 1,021.91

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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.