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Finding the Fourth Proportional to 2,614, 3,581.22 and 2,515.60

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Solution

The fourth proportional to 2,614, 3,581.22 and 2,515.60 is: 3,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614 : 3,581.22 = 2,515.60 : x
  2. Step 2: Convert to fraction form
    2,614/3,581.22 = 2,515.60/x
  3. Step 3: Cross multiply
    2,614x = 3,581.22 × 2,515.60
  4. Step 4: Simplify right side
    2,614x = 9,008,917.03
  5. Step 5: Solve for x
    x = 9,008,917.03/2,614
  6. Step 6: Final answer
    x = 3,446.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.