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Finding the Fourth Proportional to 2,529.50, 3,794.90 and 863.60

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Solution

The fourth proportional to 2,529.50, 3,794.90 and 863.60 is: 1,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.50 : 3,794.90 = 863.60 : x
  2. Step 2: Convert to fraction form
    2,529.50/3,794.90 = 863.60/x
  3. Step 3: Cross multiply
    2,529.50x = 3,794.90 × 863.60
  4. Step 4: Simplify right side
    2,529.50x = 3,277,252.35
  5. Step 5: Solve for x
    x = 3,277,252.35/2,529.50
  6. Step 6: Final answer
    x = 1,295.62

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1.5x scale

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.