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Finding the Fourth Proportional to 1,997.60, 2,755.50 and 1,554.80

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Solution

The fourth proportional to 1,997.60, 2,755.50 and 1,554.80 is: 2,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.60 : 2,755.50 = 1,554.80 : x
  2. Step 2: Convert to fraction form
    1,997.60/2,755.50 = 1,554.80/x
  3. Step 3: Cross multiply
    1,997.60x = 2,755.50 × 1,554.80
  4. Step 4: Simplify right side
    1,997.60x = 4,284,251.40
  5. Step 5: Solve for x
    x = 4,284,251.40/1,997.60
  6. Step 6: Final answer
    x = 2,144.70

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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.