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Finding the Fourth Proportional to 3,022.92, 4,171.50 and 1,903.50

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Solution

The fourth proportional to 3,022.92, 4,171.50 and 1,903.50 is: 2,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.92 : 4,171.50 = 1,903.50 : x
  2. Step 2: Convert to fraction form
    3,022.92/4,171.50 = 1,903.50/x
  3. Step 3: Cross multiply
    3,022.92x = 4,171.50 × 1,903.50
  4. Step 4: Simplify right side
    3,022.92x = 7,940,450.25
  5. Step 5: Solve for x
    x = 7,940,450.25/3,022.92
  6. Step 6: Final answer
    x = 2,626.75

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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.