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Finding the Fourth Proportional to 3,434.46, 4,739.46 and 1,942.56

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Solution

The fourth proportional to 3,434.46, 4,739.46 and 1,942.56 is: 2,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.46 : 4,739.46 = 1,942.56 : x
  2. Step 2: Convert to fraction form
    3,434.46/4,739.46 = 1,942.56/x
  3. Step 3: Cross multiply
    3,434.46x = 4,739.46 × 1,942.56
  4. Step 4: Simplify right side
    3,434.46x = 9,206,685.42
  5. Step 5: Solve for x
    x = 9,206,685.42/3,434.46
  6. Step 6: Final answer
    x = 2,680.68

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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.