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Finding the Fourth Proportional to 3,986.82, 5,978.88 and 1,905.66

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Solution

The fourth proportional to 3,986.82, 5,978.88 and 1,905.66 is: 2,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.82 : 5,978.88 = 1,905.66 : x
  2. Step 2: Convert to fraction form
    3,986.82/5,978.88 = 1,905.66/x
  3. Step 3: Cross multiply
    3,986.82x = 5,978.88 × 1,905.66
  4. Step 4: Simplify right side
    3,986.82x = 11,393,712.46
  5. Step 5: Solve for x
    x = 11,393,712.46/3,986.82
  6. Step 6: Final answer
    x = 2,857.84

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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.