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Finding the Fourth Proportional to 7,884.28, 11,826.36 and 3,267.28

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Solution

The fourth proportional to 7,884.28, 11,826.36 and 3,267.28 is: 4,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.28 : 11,826.36 = 3,267.28 : x
  2. Step 2: Convert to fraction form
    7,884.28/11,826.36 = 3,267.28/x
  3. Step 3: Cross multiply
    7,884.28x = 11,826.36 × 3,267.28
  4. Step 4: Simplify right side
    7,884.28x = 38,640,029.50
  5. Step 5: Solve for x
    x = 38,640,029.50/7,884.28
  6. Step 6: Final answer
    x = 4,900.90

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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.