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Finding the Fourth Proportional to 5,474, 8,212.12 and 1,578.08

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Solution

The fourth proportional to 5,474, 8,212.12 and 1,578.08 is: 2,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474 : 8,212.12 = 1,578.08 : x
  2. Step 2: Convert to fraction form
    5,474/8,212.12 = 1,578.08/x
  3. Step 3: Cross multiply
    5,474x = 8,212.12 × 1,578.08
  4. Step 4: Simplify right side
    5,474x = 12,959,382.33
  5. Step 5: Solve for x
    x = 12,959,382.33/5,474
  6. Step 6: Final answer
    x = 2,367.44

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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.