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Finding the Fourth Proportional to 3,994.32, 5,511.92 and 2,226

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Solution

The fourth proportional to 3,994.32, 5,511.92 and 2,226 is: 3,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.32 : 5,511.92 = 2,226 : x
  2. Step 2: Convert to fraction form
    3,994.32/5,511.92 = 2,226/x
  3. Step 3: Cross multiply
    3,994.32x = 5,511.92 × 2,226
  4. Step 4: Simplify right side
    3,994.32x = 12,269,522.79
  5. Step 5: Solve for x
    x = 12,269,522.79/3,994.32
  6. Step 6: Final answer
    x = 3,071.74

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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.