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Finding the Fourth Proportional to 6,728, 9,284.64 and 3,784

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Solution

The fourth proportional to 6,728, 9,284.64 and 3,784 is: 5,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728 : 9,284.64 = 3,784 : x
  2. Step 2: Convert to fraction form
    6,728/9,284.64 = 3,784/x
  3. Step 3: Cross multiply
    6,728x = 9,284.64 × 3,784
  4. Step 4: Simplify right side
    6,728x = 35,133,077.76
  5. Step 5: Solve for x
    x = 35,133,077.76/6,728
  6. Step 6: Final answer
    x = 5,221.92

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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.