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Finding the Fourth Proportional to 1,978.39, 2,729.80 and 1,192.49

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Solution

The fourth proportional to 1,978.39, 2,729.80 and 1,192.49 is: 1,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.39 : 2,729.80 = 1,192.49 : x
  2. Step 2: Convert to fraction form
    1,978.39/2,729.80 = 1,192.49/x
  3. Step 3: Cross multiply
    1,978.39x = 2,729.80 × 1,192.49
  4. Step 4: Simplify right side
    1,978.39x = 3,255,257.28
  5. Step 5: Solve for x
    x = 3,255,257.28/1,978.39
  6. Step 6: Final answer
    x = 1,645.41

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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.