Home / 2,142.16-3,212.87-680.99

Finding the Fourth Proportional to 2,142.16, 3,212.87 and 680.99

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Solution

The fourth proportional to 2,142.16, 3,212.87 and 680.99 is: 1,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.16 : 3,212.87 = 680.99 : x
  2. Step 2: Convert to fraction form
    2,142.16/3,212.87 = 680.99/x
  3. Step 3: Cross multiply
    2,142.16x = 3,212.87 × 680.99
  4. Step 4: Simplify right side
    2,142.16x = 2,187,912.87
  5. Step 5: Solve for x
    x = 2,187,912.87/2,142.16
  6. Step 6: Final answer
    x = 1,021.36

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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.