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Finding the Fourth Proportional to 5,752.75, 7,938.80 and 3,268.75

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Solution

The fourth proportional to 5,752.75, 7,938.80 and 3,268.75 is: 4,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.75 : 7,938.80 = 3,268.75 : x
  2. Step 2: Convert to fraction form
    5,752.75/7,938.80 = 3,268.75/x
  3. Step 3: Cross multiply
    5,752.75x = 7,938.80 × 3,268.75
  4. Step 4: Simplify right side
    5,752.75x = 25,949,952.50
  5. Step 5: Solve for x
    x = 25,949,952.50/5,752.75
  6. Step 6: Final answer
    x = 4,510.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.