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Finding the Fourth Proportional to 3,817, 5,725.88 and 1,219.28

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Solution

The fourth proportional to 3,817, 5,725.88 and 1,219.28 is: 1,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817 : 5,725.88 = 1,219.28 : x
  2. Step 2: Convert to fraction form
    3,817/5,725.88 = 1,219.28/x
  3. Step 3: Cross multiply
    3,817x = 5,725.88 × 1,219.28
  4. Step 4: Simplify right side
    3,817x = 6,981,450.97
  5. Step 5: Solve for x
    x = 6,981,450.97/3,817
  6. Step 6: Final answer
    x = 1,829.04

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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.