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Finding the Fourth Proportional to 5,939.31, 8,197.31 and 3,815.49

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Solution

The fourth proportional to 5,939.31, 8,197.31 and 3,815.49 is: 5,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.31 : 8,197.31 = 3,815.49 : x
  2. Step 2: Convert to fraction form
    5,939.31/8,197.31 = 3,815.49/x
  3. Step 3: Cross multiply
    5,939.31x = 8,197.31 × 3,815.49
  4. Step 4: Simplify right side
    5,939.31x = 31,276,754.33
  5. Step 5: Solve for x
    x = 31,276,754.33/5,939.31
  6. Step 6: Final answer
    x = 5,266.06

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1.5x scale

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.