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Finding the Fourth Proportional to 6,783.50, 10,179.09 and 3,135.50

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Solution

The fourth proportional to 6,783.50, 10,179.09 and 3,135.50 is: 4,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.50 : 10,179.09 = 3,135.50 : x
  2. Step 2: Convert to fraction form
    6,783.50/10,179.09 = 3,135.50/x
  3. Step 3: Cross multiply
    6,783.50x = 10,179.09 × 3,135.50
  4. Step 4: Simplify right side
    6,783.50x = 31,916,536.70
  5. Step 5: Solve for x
    x = 31,916,536.70/6,783.50
  6. Step 6: Final answer
    x = 4,705.02

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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.