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Finding the Fourth Proportional to 3,270, 4,512.60 and 1,798

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Solution

The fourth proportional to 3,270, 4,512.60 and 1,798 is: 2,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270 : 4,512.60 = 1,798 : x
  2. Step 2: Convert to fraction form
    3,270/4,512.60 = 1,798/x
  3. Step 3: Cross multiply
    3,270x = 4,512.60 × 1,798
  4. Step 4: Simplify right side
    3,270x = 8,113,654.80
  5. Step 5: Solve for x
    x = 8,113,654.80/3,270
  6. Step 6: Final answer
    x = 2,481.24

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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.