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Finding the Fourth Proportional to 2,894.97, 3,995.46 and 1,636.53

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Solution

The fourth proportional to 2,894.97, 3,995.46 and 1,636.53 is: 2,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.97 : 3,995.46 = 1,636.53 : x
  2. Step 2: Convert to fraction form
    2,894.97/3,995.46 = 1,636.53/x
  3. Step 3: Cross multiply
    2,894.97x = 3,995.46 × 1,636.53
  4. Step 4: Simplify right side
    2,894.97x = 6,538,690.15
  5. Step 5: Solve for x
    x = 6,538,690.15/2,894.97
  6. Step 6: Final answer
    x = 2,258.64

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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.