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Finding the Fourth Proportional to 3,048, 4,208.80 and 2,056.56

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Solution

The fourth proportional to 3,048, 4,208.80 and 2,056.56 is: 2,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048 : 4,208.80 = 2,056.56 : x
  2. Step 2: Convert to fraction form
    3,048/4,208.80 = 2,056.56/x
  3. Step 3: Cross multiply
    3,048x = 4,208.80 × 2,056.56
  4. Step 4: Simplify right side
    3,048x = 8,655,649.73
  5. Step 5: Solve for x
    x = 8,655,649.73/3,048
  6. Step 6: Final answer
    x = 2,839.78

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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.