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Finding the Fourth Proportional to 3,222.71, 4,448.22 and 1,896.85

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Solution

The fourth proportional to 3,222.71, 4,448.22 and 1,896.85 is: 2,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.71 : 4,448.22 = 1,896.85 : x
  2. Step 2: Convert to fraction form
    3,222.71/4,448.22 = 1,896.85/x
  3. Step 3: Cross multiply
    3,222.71x = 4,448.22 × 1,896.85
  4. Step 4: Simplify right side
    3,222.71x = 8,437,583.87
  5. Step 5: Solve for x
    x = 8,437,583.87/3,222.71
  6. Step 6: Final answer
    x = 2,618.16

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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.