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Finding the Fourth Proportional to 3,608.28, 5,412.42 and 872.28

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Solution

The fourth proportional to 3,608.28, 5,412.42 and 872.28 is: 1,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.28 : 5,412.42 = 872.28 : x
  2. Step 2: Convert to fraction form
    3,608.28/5,412.42 = 872.28/x
  3. Step 3: Cross multiply
    3,608.28x = 5,412.42 × 872.28
  4. Step 4: Simplify right side
    3,608.28x = 4,721,145.72
  5. Step 5: Solve for x
    x = 4,721,145.72/3,608.28
  6. Step 6: Final answer
    x = 1,308.42

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1.5x scale

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.