Home / 3,827.21-5,736-1,633.37

Finding the Fourth Proportional to 3,827.21, 5,736 and 1,633.37

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Solution

The fourth proportional to 3,827.21, 5,736 and 1,633.37 is: 2,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.21 : 5,736 = 1,633.37 : x
  2. Step 2: Convert to fraction form
    3,827.21/5,736 = 1,633.37/x
  3. Step 3: Cross multiply
    3,827.21x = 5,736 × 1,633.37
  4. Step 4: Simplify right side
    3,827.21x = 9,368,981.64
  5. Step 5: Solve for x
    x = 9,368,981.64/3,827.21
  6. Step 6: Final answer
    x = 2,448.00

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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.