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Finding the Fourth Proportional to 13,599.83, 20,400.24 and 3,739.88

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Solution

The fourth proportional to 13,599.83, 20,400.24 and 3,739.88 is: 5,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.83 : 20,400.24 = 3,739.88 : x
  2. Step 2: Convert to fraction form
    13,599.83/20,400.24 = 3,739.88/x
  3. Step 3: Cross multiply
    13,599.83x = 20,400.24 × 3,739.88
  4. Step 4: Simplify right side
    13,599.83x = 76,294,347.57
  5. Step 5: Solve for x
    x = 76,294,347.57/13,599.83
  6. Step 6: Final answer
    x = 5,609.95

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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.