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Finding the Fourth Proportional to 2,826.25, 3,900.23 and 1,722.25

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Solution

The fourth proportional to 2,826.25, 3,900.23 and 1,722.25 is: 2,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.25 : 3,900.23 = 1,722.25 : x
  2. Step 2: Convert to fraction form
    2,826.25/3,900.23 = 1,722.25/x
  3. Step 3: Cross multiply
    2,826.25x = 3,900.23 × 1,722.25
  4. Step 4: Simplify right side
    2,826.25x = 6,717,171.12
  5. Step 5: Solve for x
    x = 6,717,171.12/2,826.25
  6. Step 6: Final answer
    x = 2,376.71

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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.