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Finding the Fourth Proportional to 2,286.16, 3,429.38 and 642.84

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Solution

The fourth proportional to 2,286.16, 3,429.38 and 642.84 is: 964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.16 : 3,429.38 = 642.84 : x
  2. Step 2: Convert to fraction form
    2,286.16/3,429.38 = 642.84/x
  3. Step 3: Cross multiply
    2,286.16x = 3,429.38 × 642.84
  4. Step 4: Simplify right side
    2,286.16x = 2,204,527.77
  5. Step 5: Solve for x
    x = 2,204,527.77/2,286.16
  6. Step 6: Final answer
    x = 964.29

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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.