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Finding the Fourth Proportional to 1,996.95, 2,755.96 and 1,200.40

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Solution

The fourth proportional to 1,996.95, 2,755.96 and 1,200.40 is: 1,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.95 : 2,755.96 = 1,200.40 : x
  2. Step 2: Convert to fraction form
    1,996.95/2,755.96 = 1,200.40/x
  3. Step 3: Cross multiply
    1,996.95x = 2,755.96 × 1,200.40
  4. Step 4: Simplify right side
    1,996.95x = 3,308,259.25
  5. Step 5: Solve for x
    x = 3,308,259.25/1,996.95
  6. Step 6: Final answer
    x = 1,656.66

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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.