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Finding the Fourth Proportional to 9,198.34, 13,788.86 and 7,319.62

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Solution

The fourth proportional to 9,198.34, 13,788.86 and 7,319.62 is: 10,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.34 : 13,788.86 = 7,319.62 : x
  2. Step 2: Convert to fraction form
    9,198.34/13,788.86 = 7,319.62/x
  3. Step 3: Cross multiply
    9,198.34x = 13,788.86 × 7,319.62
  4. Step 4: Simplify right side
    9,198.34x = 100,929,185.41
  5. Step 5: Solve for x
    x = 100,929,185.41/9,198.34
  6. Step 6: Final answer
    x = 10,972.54

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1.5x scale

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.