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Finding the Fourth Proportional to 7,912.70, 11,872.74 and 3,529.70

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Solution

The fourth proportional to 7,912.70, 11,872.74 and 3,529.70 is: 5,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.70 : 11,872.74 = 3,529.70 : x
  2. Step 2: Convert to fraction form
    7,912.70/11,872.74 = 3,529.70/x
  3. Step 3: Cross multiply
    7,912.70x = 11,872.74 × 3,529.70
  4. Step 4: Simplify right side
    7,912.70x = 41,907,210.38
  5. Step 5: Solve for x
    x = 41,907,210.38/7,912.70
  6. Step 6: Final answer
    x = 5,296.20

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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.