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Finding the Fourth Proportional to 3,228.78, 4,838.54 and 1,839.24

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Solution

The fourth proportional to 3,228.78, 4,838.54 and 1,839.24 is: 2,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.78 : 4,838.54 = 1,839.24 : x
  2. Step 2: Convert to fraction form
    3,228.78/4,838.54 = 1,839.24/x
  3. Step 3: Cross multiply
    3,228.78x = 4,838.54 × 1,839.24
  4. Step 4: Simplify right side
    3,228.78x = 8,899,236.31
  5. Step 5: Solve for x
    x = 8,899,236.31/3,228.78
  6. Step 6: Final answer
    x = 2,756.22

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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.