Home / 3,103.25-4,282.49-1,706

Finding the Fourth Proportional to 3,103.25, 4,282.49 and 1,706

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Solution

The fourth proportional to 3,103.25, 4,282.49 and 1,706 is: 2,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.25 : 4,282.49 = 1,706 : x
  2. Step 2: Convert to fraction form
    3,103.25/4,282.49 = 1,706/x
  3. Step 3: Cross multiply
    3,103.25x = 4,282.49 × 1,706
  4. Step 4: Simplify right side
    3,103.25x = 7,305,919.41
  5. Step 5: Solve for x
    x = 7,305,919.41/3,103.25
  6. Step 6: Final answer
    x = 2,354.28

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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.