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Finding the Fourth Proportional to 2,696.25, 3,721.19 and 1,765.29

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Solution

The fourth proportional to 2,696.25, 3,721.19 and 1,765.29 is: 2,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.25 : 3,721.19 = 1,765.29 : x
  2. Step 2: Convert to fraction form
    2,696.25/3,721.19 = 1,765.29/x
  3. Step 3: Cross multiply
    2,696.25x = 3,721.19 × 1,765.29
  4. Step 4: Simplify right side
    2,696.25x = 6,568,970.67
  5. Step 5: Solve for x
    x = 6,568,970.67/2,696.25
  6. Step 6: Final answer
    x = 2,436.34

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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.