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Finding the Fourth Proportional to 1,978.85, 2,729.96 and 1,192.45

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Solution

The fourth proportional to 1,978.85, 2,729.96 and 1,192.45 is: 1,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.85 : 2,729.96 = 1,192.45 : x
  2. Step 2: Convert to fraction form
    1,978.85/2,729.96 = 1,192.45/x
  3. Step 3: Cross multiply
    1,978.85x = 2,729.96 × 1,192.45
  4. Step 4: Simplify right side
    1,978.85x = 3,255,321.19
  5. Step 5: Solve for x
    x = 3,255,321.19/1,978.85
  6. Step 6: Final answer
    x = 1,645.06

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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.