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Finding the Fourth Proportional to 3,867.69, 5,333.88 and 3,271.43

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Solution

The fourth proportional to 3,867.69, 5,333.88 and 3,271.43 is: 4,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.69 : 5,333.88 = 3,271.43 : x
  2. Step 2: Convert to fraction form
    3,867.69/5,333.88 = 3,271.43/x
  3. Step 3: Cross multiply
    3,867.69x = 5,333.88 × 3,271.43
  4. Step 4: Simplify right side
    3,867.69x = 17,449,415.05
  5. Step 5: Solve for x
    x = 17,449,415.05/3,867.69
  6. Step 6: Final answer
    x = 4,511.59

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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.