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Finding the Fourth Proportional to 2,672.28, 4,008.42 and 940.50

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Solution

The fourth proportional to 2,672.28, 4,008.42 and 940.50 is: 1,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.28 : 4,008.42 = 940.50 : x
  2. Step 2: Convert to fraction form
    2,672.28/4,008.42 = 940.50/x
  3. Step 3: Cross multiply
    2,672.28x = 4,008.42 × 940.50
  4. Step 4: Simplify right side
    2,672.28x = 3,769,919.01
  5. Step 5: Solve for x
    x = 3,769,919.01/2,672.28
  6. Step 6: Final answer
    x = 1,410.75

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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.