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Finding the Fourth Proportional to 6,935.76, 9,576.36 and 4,286.80

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Solution

The fourth proportional to 6,935.76, 9,576.36 and 4,286.80 is: 5,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.76 : 9,576.36 = 4,286.80 : x
  2. Step 2: Convert to fraction form
    6,935.76/9,576.36 = 4,286.80/x
  3. Step 3: Cross multiply
    6,935.76x = 9,576.36 × 4,286.80
  4. Step 4: Simplify right side
    6,935.76x = 41,051,940.05
  5. Step 5: Solve for x
    x = 41,051,940.05/6,935.76
  6. Step 6: Final answer
    x = 5,918.88

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1.5x scale

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.