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Finding the Fourth Proportional to 3,777.84, 5,650.56 and 3,149.28

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Solution

The fourth proportional to 3,777.84, 5,650.56 and 3,149.28 is: 4,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.84 : 5,650.56 = 3,149.28 : x
  2. Step 2: Convert to fraction form
    3,777.84/5,650.56 = 3,149.28/x
  3. Step 3: Cross multiply
    3,777.84x = 5,650.56 × 3,149.28
  4. Step 4: Simplify right side
    3,777.84x = 17,795,195.60
  5. Step 5: Solve for x
    x = 17,795,195.60/3,777.84
  6. Step 6: Final answer
    x = 4,710.42

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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.