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Finding the Fourth Proportional to 3,782.76, 5,674.14 and 2,253.48

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Solution

The fourth proportional to 3,782.76, 5,674.14 and 2,253.48 is: 3,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.76 : 5,674.14 = 2,253.48 : x
  2. Step 2: Convert to fraction form
    3,782.76/5,674.14 = 2,253.48/x
  3. Step 3: Cross multiply
    3,782.76x = 5,674.14 × 2,253.48
  4. Step 4: Simplify right side
    3,782.76x = 12,786,561.01
  5. Step 5: Solve for x
    x = 12,786,561.01/3,782.76
  6. Step 6: Final answer
    x = 3,380.22

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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.