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Finding the Fourth Proportional to 2,450.88, 3,676.80 and 1,424

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Solution

The fourth proportional to 2,450.88, 3,676.80 and 1,424 is: 2,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.88 : 3,676.80 = 1,424 : x
  2. Step 2: Convert to fraction form
    2,450.88/3,676.80 = 1,424/x
  3. Step 3: Cross multiply
    2,450.88x = 3,676.80 × 1,424
  4. Step 4: Simplify right side
    2,450.88x = 5,235,763.20
  5. Step 5: Solve for x
    x = 5,235,763.20/2,450.88
  6. Step 6: Final answer
    x = 2,136.28

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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.