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Finding the Fourth Proportional to 3,894.68, 5,375.36 and 2,322.88

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Solution

The fourth proportional to 3,894.68, 5,375.36 and 2,322.88 is: 3,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.68 : 5,375.36 = 2,322.88 : x
  2. Step 2: Convert to fraction form
    3,894.68/5,375.36 = 2,322.88/x
  3. Step 3: Cross multiply
    3,894.68x = 5,375.36 × 2,322.88
  4. Step 4: Simplify right side
    3,894.68x = 12,486,316.24
  5. Step 5: Solve for x
    x = 12,486,316.24/3,894.68
  6. Step 6: Final answer
    x = 3,205.99

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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.