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Finding the Fourth Proportional to 3,571.64, 4,928.84 and 1,999.76

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Solution

The fourth proportional to 3,571.64, 4,928.84 and 1,999.76 is: 2,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.64 : 4,928.84 = 1,999.76 : x
  2. Step 2: Convert to fraction form
    3,571.64/4,928.84 = 1,999.76/x
  3. Step 3: Cross multiply
    3,571.64x = 4,928.84 × 1,999.76
  4. Step 4: Simplify right side
    3,571.64x = 9,856,497.08
  5. Step 5: Solve for x
    x = 9,856,497.08/3,571.64
  6. Step 6: Final answer
    x = 2,759.66

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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.