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Finding the Fourth Proportional to 2,676.83, 4,015.91 and 921.87

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Solution

The fourth proportional to 2,676.83, 4,015.91 and 921.87 is: 1,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.83 : 4,015.91 = 921.87 : x
  2. Step 2: Convert to fraction form
    2,676.83/4,015.91 = 921.87/x
  3. Step 3: Cross multiply
    2,676.83x = 4,015.91 × 921.87
  4. Step 4: Simplify right side
    2,676.83x = 3,702,149.26
  5. Step 5: Solve for x
    x = 3,702,149.26/2,676.83
  6. Step 6: Final answer
    x = 1,383.04

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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.