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Finding the Fourth Proportional to 5,227.64, 7,836.50 and 1,939.88

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Solution

The fourth proportional to 5,227.64, 7,836.50 and 1,939.88 is: 2,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.64 : 7,836.50 = 1,939.88 : x
  2. Step 2: Convert to fraction form
    5,227.64/7,836.50 = 1,939.88/x
  3. Step 3: Cross multiply
    5,227.64x = 7,836.50 × 1,939.88
  4. Step 4: Simplify right side
    5,227.64x = 15,201,869.62
  5. Step 5: Solve for x
    x = 15,201,869.62/5,227.64
  6. Step 6: Final answer
    x = 2,907.98

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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.