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Finding the Fourth Proportional to 6,285, 9,431.82 and 2,181

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Solution

The fourth proportional to 6,285, 9,431.82 and 2,181 is: 3,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285 : 9,431.82 = 2,181 : x
  2. Step 2: Convert to fraction form
    6,285/9,431.82 = 2,181/x
  3. Step 3: Cross multiply
    6,285x = 9,431.82 × 2,181
  4. Step 4: Simplify right side
    6,285x = 20,570,799.42
  5. Step 5: Solve for x
    x = 20,570,799.42/6,285
  6. Step 6: Final answer
    x = 3,273.00

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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.