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Finding the Fourth Proportional to 7,809.62, 11,704.50 and 5,622.62

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Solution

The fourth proportional to 7,809.62, 11,704.50 and 5,622.62 is: 8,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.62 : 11,704.50 = 5,622.62 : x
  2. Step 2: Convert to fraction form
    7,809.62/11,704.50 = 5,622.62/x
  3. Step 3: Cross multiply
    7,809.62x = 11,704.50 × 5,622.62
  4. Step 4: Simplify right side
    7,809.62x = 65,809,897.27
  5. Step 5: Solve for x
    x = 65,809,897.27/7,809.62
  6. Step 6: Final answer
    x = 8,426.78

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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.