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Finding the Fourth Proportional to 2,640.81, 3,642.72 and 1,696.28

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Solution

The fourth proportional to 2,640.81, 3,642.72 and 1,696.28 is: 2,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.81 : 3,642.72 = 1,696.28 : x
  2. Step 2: Convert to fraction form
    2,640.81/3,642.72 = 1,696.28/x
  3. Step 3: Cross multiply
    2,640.81x = 3,642.72 × 1,696.28
  4. Step 4: Simplify right side
    2,640.81x = 6,179,073.08
  5. Step 5: Solve for x
    x = 6,179,073.08/2,640.81
  6. Step 6: Final answer
    x = 2,339.84

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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.