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Finding the Fourth Proportional to 9,172.44, 13,747.95 and 8,134.47

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Solution

The fourth proportional to 9,172.44, 13,747.95 and 8,134.47 is: 12,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.44 : 13,747.95 = 8,134.47 : x
  2. Step 2: Convert to fraction form
    9,172.44/13,747.95 = 8,134.47/x
  3. Step 3: Cross multiply
    9,172.44x = 13,747.95 × 8,134.47
  4. Step 4: Simplify right side
    9,172.44x = 111,832,286.84
  5. Step 5: Solve for x
    x = 111,832,286.84/9,172.44
  6. Step 6: Final answer
    x = 12,192.21

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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.