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Finding the Fourth Proportional to 5,055, 7,578.66 and 2,743.32

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Solution

The fourth proportional to 5,055, 7,578.66 and 2,743.32 is: 4,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055 : 7,578.66 = 2,743.32 : x
  2. Step 2: Convert to fraction form
    5,055/7,578.66 = 2,743.32/x
  3. Step 3: Cross multiply
    5,055x = 7,578.66 × 2,743.32
  4. Step 4: Simplify right side
    5,055x = 20,790,689.55
  5. Step 5: Solve for x
    x = 20,790,689.55/5,055
  6. Step 6: Final answer
    x = 4,112.90

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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.