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Finding the Fourth Proportional to 3,434.78, 4,738.83 and 3,429.65

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Solution

The fourth proportional to 3,434.78, 4,738.83 and 3,429.65 is: 4,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.78 : 4,738.83 = 3,429.65 : x
  2. Step 2: Convert to fraction form
    3,434.78/4,738.83 = 3,429.65/x
  3. Step 3: Cross multiply
    3,434.78x = 4,738.83 × 3,429.65
  4. Step 4: Simplify right side
    3,434.78x = 16,252,528.31
  5. Step 5: Solve for x
    x = 16,252,528.31/3,434.78
  6. Step 6: Final answer
    x = 4,731.75

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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.