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Finding the Fourth Proportional to 13,601.20, 20,398.02 and 3,738.10

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Solution

The fourth proportional to 13,601.20, 20,398.02 and 3,738.10 is: 5,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.20 : 20,398.02 = 3,738.10 : x
  2. Step 2: Convert to fraction form
    13,601.20/20,398.02 = 3,738.10/x
  3. Step 3: Cross multiply
    13,601.20x = 20,398.02 × 3,738.10
  4. Step 4: Simplify right side
    13,601.20x = 76,249,838.56
  5. Step 5: Solve for x
    x = 76,249,838.56/13,601.20
  6. Step 6: Final answer
    x = 5,606.11

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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.