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Finding the Fourth Proportional to 3,858.49, 5,787.73 and 1,261.63

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Solution

The fourth proportional to 3,858.49, 5,787.73 and 1,261.63 is: 1,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.49 : 5,787.73 = 1,261.63 : x
  2. Step 2: Convert to fraction form
    3,858.49/5,787.73 = 1,261.63/x
  3. Step 3: Cross multiply
    3,858.49x = 5,787.73 × 1,261.63
  4. Step 4: Simplify right side
    3,858.49x = 7,301,944.86
  5. Step 5: Solve for x
    x = 7,301,944.86/3,858.49
  6. Step 6: Final answer
    x = 1,892.44

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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.