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Finding the Fourth Proportional to 5,494.37, 7,578.09 and 3,815.78

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Solution

The fourth proportional to 5,494.37, 7,578.09 and 3,815.78 is: 5,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.37 : 7,578.09 = 3,815.78 : x
  2. Step 2: Convert to fraction form
    5,494.37/7,578.09 = 3,815.78/x
  3. Step 3: Cross multiply
    5,494.37x = 7,578.09 × 3,815.78
  4. Step 4: Simplify right side
    5,494.37x = 28,916,286.37
  5. Step 5: Solve for x
    x = 28,916,286.37/5,494.37
  6. Step 6: Final answer
    x = 5,262.90

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1.5x scale

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.