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Finding the Fourth Proportional to 2,511, 3,763.26 and 1,415.88

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Solution

The fourth proportional to 2,511, 3,763.26 and 1,415.88 is: 2,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 3,763.26 = 1,415.88 : x
  2. Step 2: Convert to fraction form
    2,511/3,763.26 = 1,415.88/x
  3. Step 3: Cross multiply
    2,511x = 3,763.26 × 1,415.88
  4. Step 4: Simplify right side
    2,511x = 5,328,324.57
  5. Step 5: Solve for x
    x = 5,328,324.57/2,511
  6. Step 6: Final answer
    x = 2,121.99

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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.