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Finding the Fourth Proportional to 7,896.64, 11,843.16 and 3,219.88

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Solution

The fourth proportional to 7,896.64, 11,843.16 and 3,219.88 is: 4,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.64 : 11,843.16 = 3,219.88 : x
  2. Step 2: Convert to fraction form
    7,896.64/11,843.16 = 3,219.88/x
  3. Step 3: Cross multiply
    7,896.64x = 11,843.16 × 3,219.88
  4. Step 4: Simplify right side
    7,896.64x = 38,133,554.02
  5. Step 5: Solve for x
    x = 38,133,554.02/7,896.64
  6. Step 6: Final answer
    x = 4,829.09

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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.