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Finding the Fourth Proportional to 1,296.98, 1,789.80 and 1,192.49

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Solution

The fourth proportional to 1,296.98, 1,789.80 and 1,192.49 is: 1,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.98 : 1,789.80 = 1,192.49 : x
  2. Step 2: Convert to fraction form
    1,296.98/1,789.80 = 1,192.49/x
  3. Step 3: Cross multiply
    1,296.98x = 1,789.80 × 1,192.49
  4. Step 4: Simplify right side
    1,296.98x = 2,134,311.89
  5. Step 5: Solve for x
    x = 2,134,311.89/1,296.98
  6. Step 6: Final answer
    x = 1,645.60

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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.