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Finding the Fourth Proportional to 3,821.68, 5,723.96 and 3,321.68

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Solution

The fourth proportional to 3,821.68, 5,723.96 and 3,321.68 is: 4,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.68 : 5,723.96 = 3,321.68 : x
  2. Step 2: Convert to fraction form
    3,821.68/5,723.96 = 3,321.68/x
  3. Step 3: Cross multiply
    3,821.68x = 5,723.96 × 3,321.68
  4. Step 4: Simplify right side
    3,821.68x = 19,013,163.45
  5. Step 5: Solve for x
    x = 19,013,163.45/3,821.68
  6. Step 6: Final answer
    x = 4,975.08

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1.5x scale

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.