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Finding the Fourth Proportional to 2,536.43, 3,496.10 and 1,696.84

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Solution

The fourth proportional to 2,536.43, 3,496.10 and 1,696.84 is: 2,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.43 : 3,496.10 = 1,696.84 : x
  2. Step 2: Convert to fraction form
    2,536.43/3,496.10 = 1,696.84/x
  3. Step 3: Cross multiply
    2,536.43x = 3,496.10 × 1,696.84
  4. Step 4: Simplify right side
    2,536.43x = 5,932,305.10
  5. Step 5: Solve for x
    x = 5,932,305.10/2,536.43
  6. Step 6: Final answer
    x = 2,338.84

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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.