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Finding the Fourth Proportional to 7,985.52, 11,978.82 and 3,826.44

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Solution

The fourth proportional to 7,985.52, 11,978.82 and 3,826.44 is: 5,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.52 : 11,978.82 = 3,826.44 : x
  2. Step 2: Convert to fraction form
    7,985.52/11,978.82 = 3,826.44/x
  3. Step 3: Cross multiply
    7,985.52x = 11,978.82 × 3,826.44
  4. Step 4: Simplify right side
    7,985.52x = 45,836,236.00
  5. Step 5: Solve for x
    x = 45,836,236.00/7,985.52
  6. Step 6: Final answer
    x = 5,739.92

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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.