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Finding the Fourth Proportional to 13,922.76, 20,859.02 and 9,231.66

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Solution

The fourth proportional to 13,922.76, 20,859.02 and 9,231.66 is: 13,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.76 : 20,859.02 = 9,231.66 : x
  2. Step 2: Convert to fraction form
    13,922.76/20,859.02 = 9,231.66/x
  3. Step 3: Cross multiply
    13,922.76x = 20,859.02 × 9,231.66
  4. Step 4: Simplify right side
    13,922.76x = 192,563,334.41
  5. Step 5: Solve for x
    x = 192,563,334.41/13,922.76
  6. Step 6: Final answer
    x = 13,830.83

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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.