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Finding the Fourth Proportional to 3,380.91, 5,072.88 and 2,148

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Solution

The fourth proportional to 3,380.91, 5,072.88 and 2,148 is: 3,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.91 : 5,072.88 = 2,148 : x
  2. Step 2: Convert to fraction form
    3,380.91/5,072.88 = 2,148/x
  3. Step 3: Cross multiply
    3,380.91x = 5,072.88 × 2,148
  4. Step 4: Simplify right side
    3,380.91x = 10,896,546.24
  5. Step 5: Solve for x
    x = 10,896,546.24/3,380.91
  6. Step 6: Final answer
    x = 3,222.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.