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Finding the Fourth Proportional to 13,811.70, 20,717.55 and 7,906.80

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Solution

The fourth proportional to 13,811.70, 20,717.55 and 7,906.80 is: 11,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.70 : 20,717.55 = 7,906.80 : x
  2. Step 2: Convert to fraction form
    13,811.70/20,717.55 = 7,906.80/x
  3. Step 3: Cross multiply
    13,811.70x = 20,717.55 × 7,906.80
  4. Step 4: Simplify right side
    13,811.70x = 163,809,524.34
  5. Step 5: Solve for x
    x = 163,809,524.34/13,811.70
  6. Step 6: Final answer
    x = 11,860.20

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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.