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Finding the Fourth Proportional to 7,172.45, 10,747.89 and 6,489.67

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Solution

The fourth proportional to 7,172.45, 10,747.89 and 6,489.67 is: 9,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.45 : 10,747.89 = 6,489.67 : x
  2. Step 2: Convert to fraction form
    7,172.45/10,747.89 = 6,489.67/x
  3. Step 3: Cross multiply
    7,172.45x = 10,747.89 × 6,489.67
  4. Step 4: Simplify right side
    7,172.45x = 69,750,252.58
  5. Step 5: Solve for x
    x = 69,750,252.58/7,172.45
  6. Step 6: Final answer
    x = 9,724.75

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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.