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Finding the Fourth Proportional to 7,270.38, 10,912.05 and 4,963.50

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Solution

The fourth proportional to 7,270.38, 10,912.05 and 4,963.50 is: 7,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.38 : 10,912.05 = 4,963.50 : x
  2. Step 2: Convert to fraction form
    7,270.38/10,912.05 = 4,963.50/x
  3. Step 3: Cross multiply
    7,270.38x = 10,912.05 × 4,963.50
  4. Step 4: Simplify right side
    7,270.38x = 54,161,960.18
  5. Step 5: Solve for x
    x = 54,161,960.18/7,270.38
  6. Step 6: Final answer
    x = 7,449.67

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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.