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Finding the Fourth Proportional to 2,757.69, 4,135.64 and 1,114.47

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Solution

The fourth proportional to 2,757.69, 4,135.64 and 1,114.47 is: 1,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.69 : 4,135.64 = 1,114.47 : x
  2. Step 2: Convert to fraction form
    2,757.69/4,135.64 = 1,114.47/x
  3. Step 3: Cross multiply
    2,757.69x = 4,135.64 × 1,114.47
  4. Step 4: Simplify right side
    2,757.69x = 4,609,041.14
  5. Step 5: Solve for x
    x = 4,609,041.14/2,757.69
  6. Step 6: Final answer
    x = 1,671.34

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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.