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Finding the Fourth Proportional to 5,054, 7,578.24 and 2,716.78

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Solution

The fourth proportional to 5,054, 7,578.24 and 2,716.78 is: 4,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054 : 7,578.24 = 2,716.78 : x
  2. Step 2: Convert to fraction form
    5,054/7,578.24 = 2,716.78/x
  3. Step 3: Cross multiply
    5,054x = 7,578.24 × 2,716.78
  4. Step 4: Simplify right side
    5,054x = 20,588,410.87
  5. Step 5: Solve for x
    x = 20,588,410.87/5,054
  6. Step 6: Final answer
    x = 4,073.69

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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.