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Finding the Fourth Proportional to 2,963.75, 4,447.25 and 1,424.75

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Solution

The fourth proportional to 2,963.75, 4,447.25 and 1,424.75 is: 2,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.75 : 4,447.25 = 1,424.75 : x
  2. Step 2: Convert to fraction form
    2,963.75/4,447.25 = 1,424.75/x
  3. Step 3: Cross multiply
    2,963.75x = 4,447.25 × 1,424.75
  4. Step 4: Simplify right side
    2,963.75x = 6,336,212.31
  5. Step 5: Solve for x
    x = 6,336,212.31/2,963.75
  6. Step 6: Final answer
    x = 2,137.90

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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.