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Finding the Fourth Proportional to 3,429.94, 4,729.78 and 2,934.22

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Solution

The fourth proportional to 3,429.94, 4,729.78 and 2,934.22 is: 4,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.94 : 4,729.78 = 2,934.22 : x
  2. Step 2: Convert to fraction form
    3,429.94/4,729.78 = 2,934.22/x
  3. Step 3: Cross multiply
    3,429.94x = 4,729.78 × 2,934.22
  4. Step 4: Simplify right side
    3,429.94x = 13,878,215.07
  5. Step 5: Solve for x
    x = 13,878,215.07/3,429.94
  6. Step 6: Final answer
    x = 4,046.20

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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.