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Finding the Fourth Proportional to 1,940.52, 2,910.80 and 1,322.70

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Solution

The fourth proportional to 1,940.52, 2,910.80 and 1,322.70 is: 1,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.52 : 2,910.80 = 1,322.70 : x
  2. Step 2: Convert to fraction form
    1,940.52/2,910.80 = 1,322.70/x
  3. Step 3: Cross multiply
    1,940.52x = 2,910.80 × 1,322.70
  4. Step 4: Simplify right side
    1,940.52x = 3,850,107.55
  5. Step 5: Solve for x
    x = 3,850,107.55/1,940.52
  6. Step 6: Final answer
    x = 1,984.06

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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.