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Finding the Fourth Proportional to 5,382.09, 7,425 and 3,285

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Solution

The fourth proportional to 5,382.09, 7,425 and 3,285 is: 4,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.09 : 7,425 = 3,285 : x
  2. Step 2: Convert to fraction form
    5,382.09/7,425 = 3,285/x
  3. Step 3: Cross multiply
    5,382.09x = 7,425 × 3,285
  4. Step 4: Simplify right side
    5,382.09x = 24,391,125
  5. Step 5: Solve for x
    x = 24,391,125/5,382.09
  6. Step 6: Final answer
    x = 4,531.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.