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Finding the Fourth Proportional to 2,803.27, 4,204.91 and 855.49

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Solution

The fourth proportional to 2,803.27, 4,204.91 and 855.49 is: 1,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.27 : 4,204.91 = 855.49 : x
  2. Step 2: Convert to fraction form
    2,803.27/4,204.91 = 855.49/x
  3. Step 3: Cross multiply
    2,803.27x = 4,204.91 × 855.49
  4. Step 4: Simplify right side
    2,803.27x = 3,597,258.46
  5. Step 5: Solve for x
    x = 3,597,258.46/2,803.27
  6. Step 6: Final answer
    x = 1,283.24

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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.