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Finding the Fourth Proportional to 3,223.64, 4,448.31 and 1,826.39

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Solution

The fourth proportional to 3,223.64, 4,448.31 and 1,826.39 is: 2,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.64 : 4,448.31 = 1,826.39 : x
  2. Step 2: Convert to fraction form
    3,223.64/4,448.31 = 1,826.39/x
  3. Step 3: Cross multiply
    3,223.64x = 4,448.31 × 1,826.39
  4. Step 4: Simplify right side
    3,223.64x = 8,124,348.90
  5. Step 5: Solve for x
    x = 8,124,348.90/3,223.64
  6. Step 6: Final answer
    x = 2,520.24

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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.