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Finding the Fourth Proportional to 2,614.28, 3,608.07 and 1,619.84

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Solution

The fourth proportional to 2,614.28, 3,608.07 and 1,619.84 is: 2,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.28 : 3,608.07 = 1,619.84 : x
  2. Step 2: Convert to fraction form
    2,614.28/3,608.07 = 1,619.84/x
  3. Step 3: Cross multiply
    2,614.28x = 3,608.07 × 1,619.84
  4. Step 4: Simplify right side
    2,614.28x = 5,844,496.11
  5. Step 5: Solve for x
    x = 5,844,496.11/2,614.28
  6. Step 6: Final answer
    x = 2,235.60

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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.