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Finding the Fourth Proportional to 9,404.08, 12,978 and 5,212.48

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Solution

The fourth proportional to 9,404.08, 12,978 and 5,212.48 is: 7,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.08 : 12,978 = 5,212.48 : x
  2. Step 2: Convert to fraction form
    9,404.08/12,978 = 5,212.48/x
  3. Step 3: Cross multiply
    9,404.08x = 12,978 × 5,212.48
  4. Step 4: Simplify right side
    9,404.08x = 67,647,565.44
  5. Step 5: Solve for x
    x = 67,647,565.44/9,404.08
  6. Step 6: Final answer
    x = 7,193.43

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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.