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Finding the Fourth Proportional to 1,897.89, 2,849.45 and 1,311.44

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Solution

The fourth proportional to 1,897.89, 2,849.45 and 1,311.44 is: 1,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.89 : 2,849.45 = 1,311.44 : x
  2. Step 2: Convert to fraction form
    1,897.89/2,849.45 = 1,311.44/x
  3. Step 3: Cross multiply
    1,897.89x = 2,849.45 × 1,311.44
  4. Step 4: Simplify right side
    1,897.89x = 3,736,879.97
  5. Step 5: Solve for x
    x = 3,736,879.97/1,897.89
  6. Step 6: Final answer
    x = 1,968.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.