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Finding the Fourth Proportional to 2,755.42, 4,132.69 and 1,112.00

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Solution

The fourth proportional to 2,755.42, 4,132.69 and 1,112.00 is: 1,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.42 : 4,132.69 = 1,112.00 : x
  2. Step 2: Convert to fraction form
    2,755.42/4,132.69 = 1,112.00/x
  3. Step 3: Cross multiply
    2,755.42x = 4,132.69 × 1,112.00
  4. Step 4: Simplify right side
    2,755.42x = 4,595,527.84
  5. Step 5: Solve for x
    x = 4,595,527.84/2,755.42
  6. Step 6: Final answer
    x = 1,667.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.