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Finding the Fourth Proportional to 2,615.97, 3,609 and 1,619.49

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Solution

The fourth proportional to 2,615.97, 3,609 and 1,619.49 is: 2,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.97 : 3,609 = 1,619.49 : x
  2. Step 2: Convert to fraction form
    2,615.97/3,609 = 1,619.49/x
  3. Step 3: Cross multiply
    2,615.97x = 3,609 × 1,619.49
  4. Step 4: Simplify right side
    2,615.97x = 5,844,739.41
  5. Step 5: Solve for x
    x = 5,844,739.41/2,615.97
  6. Step 6: Final answer
    x = 2,234.25

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1.5x scale

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.