Home / 2,014.36-3,020.78-697.78

Finding the Fourth Proportional to 2,014.36, 3,020.78 and 697.78

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Solution

The fourth proportional to 2,014.36, 3,020.78 and 697.78 is: 1,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.36 : 3,020.78 = 697.78 : x
  2. Step 2: Convert to fraction form
    2,014.36/3,020.78 = 697.78/x
  3. Step 3: Cross multiply
    2,014.36x = 3,020.78 × 697.78
  4. Step 4: Simplify right side
    2,014.36x = 2,107,839.87
  5. Step 5: Solve for x
    x = 2,107,839.87/2,014.36
  6. Step 6: Final answer
    x = 1,046.41

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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.