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Finding the Fourth Proportional to 2,605.88, 3,912.49 and 1,511.47

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Solution

The fourth proportional to 2,605.88, 3,912.49 and 1,511.47 is: 2,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.88 : 3,912.49 = 1,511.47 : x
  2. Step 2: Convert to fraction form
    2,605.88/3,912.49 = 1,511.47/x
  3. Step 3: Cross multiply
    2,605.88x = 3,912.49 × 1,511.47
  4. Step 4: Simplify right side
    2,605.88x = 5,913,611.26
  5. Step 5: Solve for x
    x = 5,913,611.26/2,605.88
  6. Step 6: Final answer
    x = 2,269.33

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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.