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Finding the Fourth Proportional to 3,469.84, 4,785.42 and 2,713.84

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Solution

The fourth proportional to 3,469.84, 4,785.42 and 2,713.84 is: 3,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.84 : 4,785.42 = 2,713.84 : x
  2. Step 2: Convert to fraction form
    3,469.84/4,785.42 = 2,713.84/x
  3. Step 3: Cross multiply
    3,469.84x = 4,785.42 × 2,713.84
  4. Step 4: Simplify right side
    3,469.84x = 12,986,864.21
  5. Step 5: Solve for x
    x = 12,986,864.21/3,469.84
  6. Step 6: Final answer
    x = 3,742.78

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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.