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Finding the Fourth Proportional to 2,324.69, 3,207.97 and 1,276.69

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Solution

The fourth proportional to 2,324.69, 3,207.97 and 1,276.69 is: 1,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.69 : 3,207.97 = 1,276.69 : x
  2. Step 2: Convert to fraction form
    2,324.69/3,207.97 = 1,276.69/x
  3. Step 3: Cross multiply
    2,324.69x = 3,207.97 × 1,276.69
  4. Step 4: Simplify right side
    2,324.69x = 4,095,583.22
  5. Step 5: Solve for x
    x = 4,095,583.22/2,324.69
  6. Step 6: Final answer
    x = 1,761.78

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Half scale
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Double scale
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1.5x scale

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.