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Finding the Fourth Proportional to 3,049.35, 4,573.41 and 857.62

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Solution

The fourth proportional to 3,049.35, 4,573.41 and 857.62 is: 1,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.35 : 4,573.41 = 857.62 : x
  2. Step 2: Convert to fraction form
    3,049.35/4,573.41 = 857.62/x
  3. Step 3: Cross multiply
    3,049.35x = 4,573.41 × 857.62
  4. Step 4: Simplify right side
    3,049.35x = 3,922,247.88
  5. Step 5: Solve for x
    x = 3,922,247.88/3,049.35
  6. Step 6: Final answer
    x = 1,286.26

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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.