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Finding the Fourth Proportional to 3,208.80, 4,822.80 and 2,786.40

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Solution

The fourth proportional to 3,208.80, 4,822.80 and 2,786.40 is: 4,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.80 : 4,822.80 = 2,786.40 : x
  2. Step 2: Convert to fraction form
    3,208.80/4,822.80 = 2,786.40/x
  3. Step 3: Cross multiply
    3,208.80x = 4,822.80 × 2,786.40
  4. Step 4: Simplify right side
    3,208.80x = 13,438,249.92
  5. Step 5: Solve for x
    x = 13,438,249.92/3,208.80
  6. Step 6: Final answer
    x = 4,187.94

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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.