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Finding the Fourth Proportional to 1,818.97, 2,509.32 and 1,229.71

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Solution

The fourth proportional to 1,818.97, 2,509.32 and 1,229.71 is: 1,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.97 : 2,509.32 = 1,229.71 : x
  2. Step 2: Convert to fraction form
    1,818.97/2,509.32 = 1,229.71/x
  3. Step 3: Cross multiply
    1,818.97x = 2,509.32 × 1,229.71
  4. Step 4: Simplify right side
    1,818.97x = 3,085,735.90
  5. Step 5: Solve for x
    x = 3,085,735.90/1,818.97
  6. Step 6: Final answer
    x = 1,696.42

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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.