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Finding the Fourth Proportional to 3,978.88, 5,494.17 and 3,319.19

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Solution

The fourth proportional to 3,978.88, 5,494.17 and 3,319.19 is: 4,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.88 : 5,494.17 = 3,319.19 : x
  2. Step 2: Convert to fraction form
    3,978.88/5,494.17 = 3,319.19/x
  3. Step 3: Cross multiply
    3,978.88x = 5,494.17 × 3,319.19
  4. Step 4: Simplify right side
    3,978.88x = 18,236,194.12
  5. Step 5: Solve for x
    x = 18,236,194.12/3,978.88
  6. Step 6: Final answer
    x = 4,583.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.