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Finding the Fourth Proportional to 1,978, 2,729.68 and 1,192.08

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Solution

The fourth proportional to 1,978, 2,729.68 and 1,192.08 is: 1,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978 : 2,729.68 = 1,192.08 : x
  2. Step 2: Convert to fraction form
    1,978/2,729.68 = 1,192.08/x
  3. Step 3: Cross multiply
    1,978x = 2,729.68 × 1,192.08
  4. Step 4: Simplify right side
    1,978x = 3,253,996.93
  5. Step 5: Solve for x
    x = 3,253,996.93/1,978
  6. Step 6: Final answer
    x = 1,645.09

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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.