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Finding the Fourth Proportional to 3,196.80, 4,796.40 and 1,250.40

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Solution

The fourth proportional to 3,196.80, 4,796.40 and 1,250.40 is: 1,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.80 : 4,796.40 = 1,250.40 : x
  2. Step 2: Convert to fraction form
    3,196.80/4,796.40 = 1,250.40/x
  3. Step 3: Cross multiply
    3,196.80x = 4,796.40 × 1,250.40
  4. Step 4: Simplify right side
    3,196.80x = 5,997,418.56
  5. Step 5: Solve for x
    x = 5,997,418.56/3,196.80
  6. Step 6: Final answer
    x = 1,876.07

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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.