Home / 1,414.18-2,121.73-683.84

Finding the Fourth Proportional to 1,414.18, 2,121.73 and 683.84

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Solution

The fourth proportional to 1,414.18, 2,121.73 and 683.84 is: 1,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.18 : 2,121.73 = 683.84 : x
  2. Step 2: Convert to fraction form
    1,414.18/2,121.73 = 683.84/x
  3. Step 3: Cross multiply
    1,414.18x = 2,121.73 × 683.84
  4. Step 4: Simplify right side
    1,414.18x = 1,450,923.84
  5. Step 5: Solve for x
    x = 1,450,923.84/1,414.18
  6. Step 6: Final answer
    x = 1,025.98

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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.