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Finding the Fourth Proportional to 7,815.17, 11,722.80 and 3,198.17

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Solution

The fourth proportional to 7,815.17, 11,722.80 and 3,198.17 is: 4,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.17 : 11,722.80 = 3,198.17 : x
  2. Step 2: Convert to fraction form
    7,815.17/11,722.80 = 3,198.17/x
  3. Step 3: Cross multiply
    7,815.17x = 11,722.80 × 3,198.17
  4. Step 4: Simplify right side
    7,815.17x = 37,491,448.66
  5. Step 5: Solve for x
    x = 37,491,448.66/7,815.17
  6. Step 6: Final answer
    x = 4,797.27

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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.