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Finding the Fourth Proportional to 6,857.44, 10,286.80 and 1,927.12

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Solution

The fourth proportional to 6,857.44, 10,286.80 and 1,927.12 is: 2,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.44 : 10,286.80 = 1,927.12 : x
  2. Step 2: Convert to fraction form
    6,857.44/10,286.80 = 1,927.12/x
  3. Step 3: Cross multiply
    6,857.44x = 10,286.80 × 1,927.12
  4. Step 4: Simplify right side
    6,857.44x = 19,823,898.02
  5. Step 5: Solve for x
    x = 19,823,898.02/6,857.44
  6. Step 6: Final answer
    x = 2,890.86

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1.5x scale

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.