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Finding the Fourth Proportional to 3,834, 5,750.19 and 3,107.70

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Solution

The fourth proportional to 3,834, 5,750.19 and 3,107.70 is: 4,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 5,750.19 = 3,107.70 : x
  2. Step 2: Convert to fraction form
    3,834/5,750.19 = 3,107.70/x
  3. Step 3: Cross multiply
    3,834x = 5,750.19 × 3,107.70
  4. Step 4: Simplify right side
    3,834x = 17,869,865.46
  5. Step 5: Solve for x
    x = 17,869,865.46/3,834
  6. Step 6: Final answer
    x = 4,660.89

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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.