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Finding the Fourth Proportional to 2,590.75, 3,879.03 and 1,811.53

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Solution

The fourth proportional to 2,590.75, 3,879.03 and 1,811.53 is: 2,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.75 : 3,879.03 = 1,811.53 : x
  2. Step 2: Convert to fraction form
    2,590.75/3,879.03 = 1,811.53/x
  3. Step 3: Cross multiply
    2,590.75x = 3,879.03 × 1,811.53
  4. Step 4: Simplify right side
    2,590.75x = 7,026,979.22
  5. Step 5: Solve for x
    x = 7,026,979.22/2,590.75
  6. Step 6: Final answer
    x = 2,712.33

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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.