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Finding the Fourth Proportional to 2,811.16, 3,879.91 and 1,676.90

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Solution

The fourth proportional to 2,811.16, 3,879.91 and 1,676.90 is: 2,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.16 : 3,879.91 = 1,676.90 : x
  2. Step 2: Convert to fraction form
    2,811.16/3,879.91 = 1,676.90/x
  3. Step 3: Cross multiply
    2,811.16x = 3,879.91 × 1,676.90
  4. Step 4: Simplify right side
    2,811.16x = 6,506,224.62
  5. Step 5: Solve for x
    x = 6,506,224.62/2,811.16
  6. Step 6: Final answer
    x = 2,314.43

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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.