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Finding the Fourth Proportional to 2,324.80, 3,208 and 1,276.80

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Solution

The fourth proportional to 2,324.80, 3,208 and 1,276.80 is: 1,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.80 : 3,208 = 1,276.80 : x
  2. Step 2: Convert to fraction form
    2,324.80/3,208 = 1,276.80/x
  3. Step 3: Cross multiply
    2,324.80x = 3,208 × 1,276.80
  4. Step 4: Simplify right side
    2,324.80x = 4,095,974.40
  5. Step 5: Solve for x
    x = 4,095,974.40/2,324.80
  6. Step 6: Final answer
    x = 1,761.86

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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.