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Finding the Fourth Proportional to 2,755.72, 4,133.87 and 1,112

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Solution

The fourth proportional to 2,755.72, 4,133.87 and 1,112 is: 1,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.72 : 4,133.87 = 1,112 : x
  2. Step 2: Convert to fraction form
    2,755.72/4,133.87 = 1,112/x
  3. Step 3: Cross multiply
    2,755.72x = 4,133.87 × 1,112
  4. Step 4: Simplify right side
    2,755.72x = 4,596,857.88
  5. Step 5: Solve for x
    x = 4,596,857.88/2,755.72
  6. Step 6: Final answer
    x = 1,668.12

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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.