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Finding the Fourth Proportional to 13,183.76, 19,785.72 and 9,722

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Solution

The fourth proportional to 13,183.76, 19,785.72 and 9,722 is: 14,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.76 : 19,785.72 = 9,722 : x
  2. Step 2: Convert to fraction form
    13,183.76/19,785.72 = 9,722/x
  3. Step 3: Cross multiply
    13,183.76x = 19,785.72 × 9,722
  4. Step 4: Simplify right side
    13,183.76x = 192,356,769.84
  5. Step 5: Solve for x
    x = 192,356,769.84/13,183.76
  6. Step 6: Final answer
    x = 14,590.43

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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.