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Finding the Fourth Proportional to 13,612, 20,418 and 5,409.76

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Solution

The fourth proportional to 13,612, 20,418 and 5,409.76 is: 8,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612 : 20,418 = 5,409.76 : x
  2. Step 2: Convert to fraction form
    13,612/20,418 = 5,409.76/x
  3. Step 3: Cross multiply
    13,612x = 20,418 × 5,409.76
  4. Step 4: Simplify right side
    13,612x = 110,456,479.68
  5. Step 5: Solve for x
    x = 110,456,479.68/13,612
  6. Step 6: Final answer
    x = 8,114.64

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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.