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Finding the Fourth Proportional to 20,804.05, 31,203 and 6,765.35

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Solution

The fourth proportional to 20,804.05, 31,203 and 6,765.35 is: 10,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.05 : 31,203 = 6,765.35 : x
  2. Step 2: Convert to fraction form
    20,804.05/31,203 = 6,765.35/x
  3. Step 3: Cross multiply
    20,804.05x = 31,203 × 6,765.35
  4. Step 4: Simplify right side
    20,804.05x = 211,099,216.05
  5. Step 5: Solve for x
    x = 211,099,216.05/20,804.05
  6. Step 6: Final answer
    x = 10,147.03

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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.