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Finding the Fourth Proportional to 1,879.90, 2,817.42 and 1,262.68

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Solution

The fourth proportional to 1,879.90, 2,817.42 and 1,262.68 is: 1,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.90 : 2,817.42 = 1,262.68 : x
  2. Step 2: Convert to fraction form
    1,879.90/2,817.42 = 1,262.68/x
  3. Step 3: Cross multiply
    1,879.90x = 2,817.42 × 1,262.68
  4. Step 4: Simplify right side
    1,879.90x = 3,557,499.89
  5. Step 5: Solve for x
    x = 3,557,499.89/1,879.90
  6. Step 6: Final answer
    x = 1,892.39

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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.