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Finding the Fourth Proportional to 3,878.39, 5,352.39 and 2,109.96

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Solution

The fourth proportional to 3,878.39, 5,352.39 and 2,109.96 is: 2,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.39 : 5,352.39 = 2,109.96 : x
  2. Step 2: Convert to fraction form
    3,878.39/5,352.39 = 2,109.96/x
  3. Step 3: Cross multiply
    3,878.39x = 5,352.39 × 2,109.96
  4. Step 4: Simplify right side
    3,878.39x = 11,293,328.80
  5. Step 5: Solve for x
    x = 11,293,328.80/3,878.39
  6. Step 6: Final answer
    x = 2,911.86

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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.