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Finding the Fourth Proportional to 2,755.56, 3,802.68 and 1,576.68

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Solution

The fourth proportional to 2,755.56, 3,802.68 and 1,576.68 is: 2,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.56 : 3,802.68 = 1,576.68 : x
  2. Step 2: Convert to fraction form
    2,755.56/3,802.68 = 1,576.68/x
  3. Step 3: Cross multiply
    2,755.56x = 3,802.68 × 1,576.68
  4. Step 4: Simplify right side
    2,755.56x = 5,995,609.50
  5. Step 5: Solve for x
    x = 5,995,609.50/2,755.56
  6. Step 6: Final answer
    x = 2,175.82

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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.