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Finding the Fourth Proportional to 3,884.09, 5,827.01 and 1,287

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Solution

The fourth proportional to 3,884.09, 5,827.01 and 1,287 is: 1,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.09 : 5,827.01 = 1,287 : x
  2. Step 2: Convert to fraction form
    3,884.09/5,827.01 = 1,287/x
  3. Step 3: Cross multiply
    3,884.09x = 5,827.01 × 1,287
  4. Step 4: Simplify right side
    3,884.09x = 7,499,355.44
  5. Step 5: Solve for x
    x = 7,499,355.44/3,884.09
  6. Step 6: Final answer
    x = 1,930.79

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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.