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Finding the Fourth Proportional to 13,832.45, 20,738.03 and 7,161.79

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Solution

The fourth proportional to 13,832.45, 20,738.03 and 7,161.79 is: 10,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.45 : 20,738.03 = 7,161.79 : x
  2. Step 2: Convert to fraction form
    13,832.45/20,738.03 = 7,161.79/x
  3. Step 3: Cross multiply
    13,832.45x = 20,738.03 × 7,161.79
  4. Step 4: Simplify right side
    13,832.45x = 148,521,433.78
  5. Step 5: Solve for x
    x = 148,521,433.78/13,832.45
  6. Step 6: Final answer
    x = 10,737.18

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1.5x scale

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.