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Finding the Fourth Proportional to 2,757.10, 4,135.65 and 1,662.70

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Solution

The fourth proportional to 2,757.10, 4,135.65 and 1,662.70 is: 2,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.10 : 4,135.65 = 1,662.70 : x
  2. Step 2: Convert to fraction form
    2,757.10/4,135.65 = 1,662.70/x
  3. Step 3: Cross multiply
    2,757.10x = 4,135.65 × 1,662.70
  4. Step 4: Simplify right side
    2,757.10x = 6,876,345.26
  5. Step 5: Solve for x
    x = 6,876,345.26/2,757.10
  6. Step 6: Final answer
    x = 2,494.05

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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.