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Finding the Fourth Proportional to 3,153.70, 4,354.86 and 1,976.80

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Solution

The fourth proportional to 3,153.70, 4,354.86 and 1,976.80 is: 2,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.70 : 4,354.86 = 1,976.80 : x
  2. Step 2: Convert to fraction form
    3,153.70/4,354.86 = 1,976.80/x
  3. Step 3: Cross multiply
    3,153.70x = 4,354.86 × 1,976.80
  4. Step 4: Simplify right side
    3,153.70x = 8,608,687.25
  5. Step 5: Solve for x
    x = 8,608,687.25/3,153.70
  6. Step 6: Final answer
    x = 2,729.71

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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.