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Finding the Fourth Proportional to 1,998.82, 2,755.92 and 1,643.50

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Solution

The fourth proportional to 1,998.82, 2,755.92 and 1,643.50 is: 2,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.82 : 2,755.92 = 1,643.50 : x
  2. Step 2: Convert to fraction form
    1,998.82/2,755.92 = 1,643.50/x
  3. Step 3: Cross multiply
    1,998.82x = 2,755.92 × 1,643.50
  4. Step 4: Simplify right side
    1,998.82x = 4,529,354.52
  5. Step 5: Solve for x
    x = 4,529,354.52/1,998.82
  6. Step 6: Final answer
    x = 2,266.01

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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.