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Finding the Fourth Proportional to 3,293, 4,939.50 and 984.44

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Solution

The fourth proportional to 3,293, 4,939.50 and 984.44 is: 1,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293 : 4,939.50 = 984.44 : x
  2. Step 2: Convert to fraction form
    3,293/4,939.50 = 984.44/x
  3. Step 3: Cross multiply
    3,293x = 4,939.50 × 984.44
  4. Step 4: Simplify right side
    3,293x = 4,862,641.38
  5. Step 5: Solve for x
    x = 4,862,641.38/3,293
  6. Step 6: Final answer
    x = 1,476.66

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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.