Home / 3,382-4,667.22-1,984.72

Finding the Fourth Proportional to 3,382, 4,667.22 and 1,984.72

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Solution

The fourth proportional to 3,382, 4,667.22 and 1,984.72 is: 2,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382 : 4,667.22 = 1,984.72 : x
  2. Step 2: Convert to fraction form
    3,382/4,667.22 = 1,984.72/x
  3. Step 3: Cross multiply
    3,382x = 4,667.22 × 1,984.72
  4. Step 4: Simplify right side
    3,382x = 9,263,124.88
  5. Step 5: Solve for x
    x = 9,263,124.88/3,382
  6. Step 6: Final answer
    x = 2,738.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.