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Finding the Fourth Proportional to 6,807.05, 10,204.80 and 3,107.98

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Solution

The fourth proportional to 6,807.05, 10,204.80 and 3,107.98 is: 4,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.05 : 10,204.80 = 3,107.98 : x
  2. Step 2: Convert to fraction form
    6,807.05/10,204.80 = 3,107.98/x
  3. Step 3: Cross multiply
    6,807.05x = 10,204.80 × 3,107.98
  4. Step 4: Simplify right side
    6,807.05x = 31,716,314.30
  5. Step 5: Solve for x
    x = 31,716,314.30/6,807.05
  6. Step 6: Final answer
    x = 4,659.33

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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.