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Finding the Fourth Proportional to 13,660, 20,494.86 and 6,739.36

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Solution

The fourth proportional to 13,660, 20,494.86 and 6,739.36 is: 10,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660 : 20,494.86 = 6,739.36 : x
  2. Step 2: Convert to fraction form
    13,660/20,494.86 = 6,739.36/x
  3. Step 3: Cross multiply
    13,660x = 20,494.86 × 6,739.36
  4. Step 4: Simplify right side
    13,660x = 138,122,239.69
  5. Step 5: Solve for x
    x = 138,122,239.69/13,660
  6. Step 6: Final answer
    x = 10,111.44

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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.