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Finding the Fourth Proportional to 3,286.94, 4,927.80 and 1,642.64

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Solution

The fourth proportional to 3,286.94, 4,927.80 and 1,642.64 is: 2,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.94 : 4,927.80 = 1,642.64 : x
  2. Step 2: Convert to fraction form
    3,286.94/4,927.80 = 1,642.64/x
  3. Step 3: Cross multiply
    3,286.94x = 4,927.80 × 1,642.64
  4. Step 4: Simplify right side
    3,286.94x = 8,094,601.39
  5. Step 5: Solve for x
    x = 8,094,601.39/3,286.94
  6. Step 6: Final answer
    x = 2,462.66

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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.