Home / 1,286.46-1,916.41-1,206.78

Finding the Fourth Proportional to 1,286.46, 1,916.41 and 1,206.78

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Solution

The fourth proportional to 1,286.46, 1,916.41 and 1,206.78 is: 1,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.46 : 1,916.41 = 1,206.78 : x
  2. Step 2: Convert to fraction form
    1,286.46/1,916.41 = 1,206.78/x
  3. Step 3: Cross multiply
    1,286.46x = 1,916.41 × 1,206.78
  4. Step 4: Simplify right side
    1,286.46x = 2,312,685.26
  5. Step 5: Solve for x
    x = 2,312,685.26/1,286.46
  6. Step 6: Final answer
    x = 1,797.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.