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Finding the Fourth Proportional to 6,827, 10,240.48 and 1,896.66

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Solution

The fourth proportional to 6,827, 10,240.48 and 1,896.66 is: 2,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827 : 10,240.48 = 1,896.66 : x
  2. Step 2: Convert to fraction form
    6,827/10,240.48 = 1,896.66/x
  3. Step 3: Cross multiply
    6,827x = 10,240.48 × 1,896.66
  4. Step 4: Simplify right side
    6,827x = 19,422,708.80
  5. Step 5: Solve for x
    x = 19,422,708.80/6,827
  6. Step 6: Final answer
    x = 2,844.98

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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.