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Finding the Fourth Proportional to 7,254.20, 10,874 and 3,960.48

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Solution

The fourth proportional to 7,254.20, 10,874 and 3,960.48 is: 5,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.20 : 10,874 = 3,960.48 : x
  2. Step 2: Convert to fraction form
    7,254.20/10,874 = 3,960.48/x
  3. Step 3: Cross multiply
    7,254.20x = 10,874 × 3,960.48
  4. Step 4: Simplify right side
    7,254.20x = 43,066,259.52
  5. Step 5: Solve for x
    x = 43,066,259.52/7,254.20
  6. Step 6: Final answer
    x = 5,936.73

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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.