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Finding the Fourth Proportional to 3,576.54, 5,363.79 and 1,384.80

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Solution

The fourth proportional to 3,576.54, 5,363.79 and 1,384.80 is: 2,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.54 : 5,363.79 = 1,384.80 : x
  2. Step 2: Convert to fraction form
    3,576.54/5,363.79 = 1,384.80/x
  3. Step 3: Cross multiply
    3,576.54x = 5,363.79 × 1,384.80
  4. Step 4: Simplify right side
    3,576.54x = 7,427,776.39
  5. Step 5: Solve for x
    x = 7,427,776.39/3,576.54
  6. Step 6: Final answer
    x = 2,076.81

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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.