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Finding the Fourth Proportional to 1,696.49, 2,544.86 and 1,081.40

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Solution

The fourth proportional to 1,696.49, 2,544.86 and 1,081.40 is: 1,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.49 : 2,544.86 = 1,081.40 : x
  2. Step 2: Convert to fraction form
    1,696.49/2,544.86 = 1,081.40/x
  3. Step 3: Cross multiply
    1,696.49x = 2,544.86 × 1,081.40
  4. Step 4: Simplify right side
    1,696.49x = 2,752,011.60
  5. Step 5: Solve for x
    x = 2,752,011.60/1,696.49
  6. Step 6: Final answer
    x = 1,622.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.