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Finding the Fourth Proportional to 13,206, 19,793.64 and 5,405.36

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Solution

The fourth proportional to 13,206, 19,793.64 and 5,405.36 is: 8,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206 : 19,793.64 = 5,405.36 : x
  2. Step 2: Convert to fraction form
    13,206/19,793.64 = 5,405.36/x
  3. Step 3: Cross multiply
    13,206x = 19,793.64 × 5,405.36
  4. Step 4: Simplify right side
    13,206x = 106,991,749.91
  5. Step 5: Solve for x
    x = 106,991,749.91/13,206
  6. Step 6: Final answer
    x = 8,101.75

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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.