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Finding the Fourth Proportional to 3,898.49, 5,378.03 and 2,834.60

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Solution

The fourth proportional to 3,898.49, 5,378.03 and 2,834.60 is: 3,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.49 : 5,378.03 = 2,834.60 : x
  2. Step 2: Convert to fraction form
    3,898.49/5,378.03 = 2,834.60/x
  3. Step 3: Cross multiply
    3,898.49x = 5,378.03 × 2,834.60
  4. Step 4: Simplify right side
    3,898.49x = 15,244,563.84
  5. Step 5: Solve for x
    x = 15,244,563.84/3,898.49
  6. Step 6: Final answer
    x = 3,910.38

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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.