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Finding the Fourth Proportional to 2,850.28, 4,275.42 and 2,276.80

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Solution

The fourth proportional to 2,850.28, 4,275.42 and 2,276.80 is: 3,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.28 : 4,275.42 = 2,276.80 : x
  2. Step 2: Convert to fraction form
    2,850.28/4,275.42 = 2,276.80/x
  3. Step 3: Cross multiply
    2,850.28x = 4,275.42 × 2,276.80
  4. Step 4: Simplify right side
    2,850.28x = 9,734,276.26
  5. Step 5: Solve for x
    x = 9,734,276.26/2,850.28
  6. Step 6: Final answer
    x = 3,415.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.