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Finding the Fourth Proportional to 2,965.71, 4,092.93 and 1,639.85

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Solution

The fourth proportional to 2,965.71, 4,092.93 and 1,639.85 is: 2,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.71 : 4,092.93 = 1,639.85 : x
  2. Step 2: Convert to fraction form
    2,965.71/4,092.93 = 1,639.85/x
  3. Step 3: Cross multiply
    2,965.71x = 4,092.93 × 1,639.85
  4. Step 4: Simplify right side
    2,965.71x = 6,711,770.80
  5. Step 5: Solve for x
    x = 6,711,770.80/2,965.71
  6. Step 6: Final answer
    x = 2,263.12

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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.