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Finding the Fourth Proportional to 6,645.56, 9,967.73 and 2,028.56

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Solution

The fourth proportional to 6,645.56, 9,967.73 and 2,028.56 is: 3,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.56 : 9,967.73 = 2,028.56 : x
  2. Step 2: Convert to fraction form
    6,645.56/9,967.73 = 2,028.56/x
  3. Step 3: Cross multiply
    6,645.56x = 9,967.73 × 2,028.56
  4. Step 4: Simplify right side
    6,645.56x = 20,220,134.46
  5. Step 5: Solve for x
    x = 20,220,134.46/6,645.56
  6. Step 6: Final answer
    x = 3,042.65

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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.