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Finding the Fourth Proportional to 3,456, 5,171.04 and 2,151.36

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Solution

The fourth proportional to 3,456, 5,171.04 and 2,151.36 is: 3,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 5,171.04 = 2,151.36 : x
  2. Step 2: Convert to fraction form
    3,456/5,171.04 = 2,151.36/x
  3. Step 3: Cross multiply
    3,456x = 5,171.04 × 2,151.36
  4. Step 4: Simplify right side
    3,456x = 11,124,768.61
  5. Step 5: Solve for x
    x = 11,124,768.61/3,456
  6. Step 6: Final answer
    x = 3,218.97

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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.