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Finding the Fourth Proportional to 3,879.76, 5,354 and 2,111.36

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Solution

The fourth proportional to 3,879.76, 5,354 and 2,111.36 is: 2,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.76 : 5,354 = 2,111.36 : x
  2. Step 2: Convert to fraction form
    3,879.76/5,354 = 2,111.36/x
  3. Step 3: Cross multiply
    3,879.76x = 5,354 × 2,111.36
  4. Step 4: Simplify right side
    3,879.76x = 11,304,221.44
  5. Step 5: Solve for x
    x = 11,304,221.44/3,879.76
  6. Step 6: Final answer
    x = 2,913.64

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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.