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Finding the Fourth Proportional to 3,256, 4,493.98 and 2,076.80

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Solution

The fourth proportional to 3,256, 4,493.98 and 2,076.80 is: 2,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256 : 4,493.98 = 2,076.80 : x
  2. Step 2: Convert to fraction form
    3,256/4,493.98 = 2,076.80/x
  3. Step 3: Cross multiply
    3,256x = 4,493.98 × 2,076.80
  4. Step 4: Simplify right side
    3,256x = 9,333,097.66
  5. Step 5: Solve for x
    x = 9,333,097.66/3,256
  6. Step 6: Final answer
    x = 2,866.43

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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.