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Finding the Fourth Proportional to 13,832.40, 20,770.20 and 8,000.40

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Solution

The fourth proportional to 13,832.40, 20,770.20 and 8,000.40 is: 12,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.40 : 20,770.20 = 8,000.40 : x
  2. Step 2: Convert to fraction form
    13,832.40/20,770.20 = 8,000.40/x
  3. Step 3: Cross multiply
    13,832.40x = 20,770.20 × 8,000.40
  4. Step 4: Simplify right side
    13,832.40x = 166,169,908.08
  5. Step 5: Solve for x
    x = 166,169,908.08/13,832.40
  6. Step 6: Final answer
    x = 12,013.09

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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.