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Finding the Fourth Proportional to 3,978.26, 5,964.11 and 1,755.51

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Solution

The fourth proportional to 3,978.26, 5,964.11 and 1,755.51 is: 2,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.26 : 5,964.11 = 1,755.51 : x
  2. Step 2: Convert to fraction form
    3,978.26/5,964.11 = 1,755.51/x
  3. Step 3: Cross multiply
    3,978.26x = 5,964.11 × 1,755.51
  4. Step 4: Simplify right side
    3,978.26x = 10,470,054.75
  5. Step 5: Solve for x
    x = 10,470,054.75/3,978.26
  6. Step 6: Final answer
    x = 2,631.82

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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.