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Finding the Fourth Proportional to 13,187.22, 19,785 and 5,797.92

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Solution

The fourth proportional to 13,187.22, 19,785 and 5,797.92 is: 8,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.22 : 19,785 = 5,797.92 : x
  2. Step 2: Convert to fraction form
    13,187.22/19,785 = 5,797.92/x
  3. Step 3: Cross multiply
    13,187.22x = 19,785 × 5,797.92
  4. Step 4: Simplify right side
    13,187.22x = 114,711,847.20
  5. Step 5: Solve for x
    x = 114,711,847.20/13,187.22
  6. Step 6: Final answer
    x = 8,698.71

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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.