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Finding the Fourth Proportional to 3,103.97, 4,283.42 and 1,687.68

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Solution

The fourth proportional to 3,103.97, 4,283.42 and 1,687.68 is: 2,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.97 : 4,283.42 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    3,103.97/4,283.42 = 1,687.68/x
  3. Step 3: Cross multiply
    3,103.97x = 4,283.42 × 1,687.68
  4. Step 4: Simplify right side
    3,103.97x = 7,229,033.83
  5. Step 5: Solve for x
    x = 7,229,033.83/3,103.97
  6. Step 6: Final answer
    x = 2,328.97

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1.5x scale

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.