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Finding the Fourth Proportional to 9,198.75, 12,694.32 and 5,007

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Solution

The fourth proportional to 9,198.75, 12,694.32 and 5,007 is: 6,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.75 : 12,694.32 = 5,007 : x
  2. Step 2: Convert to fraction form
    9,198.75/12,694.32 = 5,007/x
  3. Step 3: Cross multiply
    9,198.75x = 12,694.32 × 5,007
  4. Step 4: Simplify right side
    9,198.75x = 63,560,460.24
  5. Step 5: Solve for x
    x = 63,560,460.24/9,198.75
  6. Step 6: Final answer
    x = 6,909.68

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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.