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Finding the Fourth Proportional to 3,796.80, 5,237.70 and 3,271.92

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Solution

The fourth proportional to 3,796.80, 5,237.70 and 3,271.92 is: 4,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.80 : 5,237.70 = 3,271.92 : x
  2. Step 2: Convert to fraction form
    3,796.80/5,237.70 = 3,271.92/x
  3. Step 3: Cross multiply
    3,796.80x = 5,237.70 × 3,271.92
  4. Step 4: Simplify right side
    3,796.80x = 17,137,335.38
  5. Step 5: Solve for x
    x = 17,137,335.38/3,796.80
  6. Step 6: Final answer
    x = 4,513.63

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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.