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Finding the Fourth Proportional to 3,878.37, 5,780.22 and 3,872.22

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Solution

The fourth proportional to 3,878.37, 5,780.22 and 3,872.22 is: 5,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.37 : 5,780.22 = 3,872.22 : x
  2. Step 2: Convert to fraction form
    3,878.37/5,780.22 = 3,872.22/x
  3. Step 3: Cross multiply
    3,878.37x = 5,780.22 × 3,872.22
  4. Step 4: Simplify right side
    3,878.37x = 22,382,283.49
  5. Step 5: Solve for x
    x = 22,382,283.49/3,878.37
  6. Step 6: Final answer
    x = 5,771.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.