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Finding the Fourth Proportional to 13,608, 20,421.72 and 6,687.36

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Solution

The fourth proportional to 13,608, 20,421.72 and 6,687.36 is: 10,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608 : 20,421.72 = 6,687.36 : x
  2. Step 2: Convert to fraction form
    13,608/20,421.72 = 6,687.36/x
  3. Step 3: Cross multiply
    13,608x = 20,421.72 × 6,687.36
  4. Step 4: Simplify right side
    13,608x = 136,567,393.46
  5. Step 5: Solve for x
    x = 136,567,393.46/13,608
  6. Step 6: Final answer
    x = 10,035.82

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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.