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Finding the Fourth Proportional to 2,965.97, 4,092.88 and 1,639.60

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Solution

The fourth proportional to 2,965.97, 4,092.88 and 1,639.60 is: 2,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.97 : 4,092.88 = 1,639.60 : x
  2. Step 2: Convert to fraction form
    2,965.97/4,092.88 = 1,639.60/x
  3. Step 3: Cross multiply
    2,965.97x = 4,092.88 × 1,639.60
  4. Step 4: Simplify right side
    2,965.97x = 6,710,657.39
  5. Step 5: Solve for x
    x = 6,710,657.39/2,965.97
  6. Step 6: Final answer
    x = 2,262.55

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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.