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Finding the Fourth Proportional to 4,857.68, 7,286.16 and 1,936.64

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Solution

The fourth proportional to 4,857.68, 7,286.16 and 1,936.64 is: 2,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.68 : 7,286.16 = 1,936.64 : x
  2. Step 2: Convert to fraction form
    4,857.68/7,286.16 = 1,936.64/x
  3. Step 3: Cross multiply
    4,857.68x = 7,286.16 × 1,936.64
  4. Step 4: Simplify right side
    4,857.68x = 14,110,668.90
  5. Step 5: Solve for x
    x = 14,110,668.90/4,857.68
  6. Step 6: Final answer
    x = 2,904.82

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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.