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Finding the Fourth Proportional to 13,602.68, 20,401.67 and 3,739.61

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Solution

The fourth proportional to 13,602.68, 20,401.67 and 3,739.61 is: 5,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.68 : 20,401.67 = 3,739.61 : x
  2. Step 2: Convert to fraction form
    13,602.68/20,401.67 = 3,739.61/x
  3. Step 3: Cross multiply
    13,602.68x = 20,401.67 × 3,739.61
  4. Step 4: Simplify right side
    13,602.68x = 76,294,270.45
  5. Step 5: Solve for x
    x = 76,294,270.45/13,602.68
  6. Step 6: Final answer
    x = 5,608.77

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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.