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Finding the Fourth Proportional to 13,914.21, 20,862.06 and 7,234.30

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Solution

The fourth proportional to 13,914.21, 20,862.06 and 7,234.30 is: 10,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.21 : 20,862.06 = 7,234.30 : x
  2. Step 2: Convert to fraction form
    13,914.21/20,862.06 = 7,234.30/x
  3. Step 3: Cross multiply
    13,914.21x = 20,862.06 × 7,234.30
  4. Step 4: Simplify right side
    13,914.21x = 150,922,400.66
  5. Step 5: Solve for x
    x = 150,922,400.66/13,914.21
  6. Step 6: Final answer
    x = 10,846.64

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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.