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Finding the Fourth Proportional to 3,841, 5,299.15 and 2,515.43

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Solution

The fourth proportional to 3,841, 5,299.15 and 2,515.43 is: 3,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841 : 5,299.15 = 2,515.43 : x
  2. Step 2: Convert to fraction form
    3,841/5,299.15 = 2,515.43/x
  3. Step 3: Cross multiply
    3,841x = 5,299.15 × 2,515.43
  4. Step 4: Simplify right side
    3,841x = 13,329,640.88
  5. Step 5: Solve for x
    x = 13,329,640.88/3,841
  6. Step 6: Final answer
    x = 3,470.36

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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.