Home / 3,827.88-5,736.24-1,633.50

Finding the Fourth Proportional to 3,827.88, 5,736.24 and 1,633.50

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Solution

The fourth proportional to 3,827.88, 5,736.24 and 1,633.50 is: 2,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.88 : 5,736.24 = 1,633.50 : x
  2. Step 2: Convert to fraction form
    3,827.88/5,736.24 = 1,633.50/x
  3. Step 3: Cross multiply
    3,827.88x = 5,736.24 × 1,633.50
  4. Step 4: Simplify right side
    3,827.88x = 9,370,148.04
  5. Step 5: Solve for x
    x = 9,370,148.04/3,827.88
  6. Step 6: Final answer
    x = 2,447.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.