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Finding the Fourth Proportional to 3,049.75, 4,574.08 and 857.96

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Solution

The fourth proportional to 3,049.75, 4,574.08 and 857.96 is: 1,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.75 : 4,574.08 = 857.96 : x
  2. Step 2: Convert to fraction form
    3,049.75/4,574.08 = 857.96/x
  3. Step 3: Cross multiply
    3,049.75x = 4,574.08 × 857.96
  4. Step 4: Simplify right side
    3,049.75x = 3,924,373.03
  5. Step 5: Solve for x
    x = 3,924,373.03/3,049.75
  6. Step 6: Final answer
    x = 1,286.78

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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.