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Finding the Fourth Proportional to 7,855.98, 11,783.15 and 3,178.43

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Solution

The fourth proportional to 7,855.98, 11,783.15 and 3,178.43 is: 4,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.98 : 11,783.15 = 3,178.43 : x
  2. Step 2: Convert to fraction form
    7,855.98/11,783.15 = 3,178.43/x
  3. Step 3: Cross multiply
    7,855.98x = 11,783.15 × 3,178.43
  4. Step 4: Simplify right side
    7,855.98x = 37,451,917.45
  5. Step 5: Solve for x
    x = 37,451,917.45/7,855.98
  6. Step 6: Final answer
    x = 4,767.31

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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.