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Finding the Fourth Proportional to 3,270.66, 4,907.92 and 1,296.48

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Solution

The fourth proportional to 3,270.66, 4,907.92 and 1,296.48 is: 1,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.66 : 4,907.92 = 1,296.48 : x
  2. Step 2: Convert to fraction form
    3,270.66/4,907.92 = 1,296.48/x
  3. Step 3: Cross multiply
    3,270.66x = 4,907.92 × 1,296.48
  4. Step 4: Simplify right side
    3,270.66x = 6,363,020.12
  5. Step 5: Solve for x
    x = 6,363,020.12/3,270.66
  6. Step 6: Final answer
    x = 1,945.49

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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.