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Finding the Fourth Proportional to 7,122.42, 10,674.32 and 3,828.42

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Solution

The fourth proportional to 7,122.42, 10,674.32 and 3,828.42 is: 5,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.42 : 10,674.32 = 3,828.42 : x
  2. Step 2: Convert to fraction form
    7,122.42/10,674.32 = 3,828.42/x
  3. Step 3: Cross multiply
    7,122.42x = 10,674.32 × 3,828.42
  4. Step 4: Simplify right side
    7,122.42x = 40,865,761.03
  5. Step 5: Solve for x
    x = 40,865,761.03/7,122.42
  6. Step 6: Final answer
    x = 5,737.62

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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.