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Finding the Fourth Proportional to 13,947.40, 20,942.70 and 8,115.40

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Solution

The fourth proportional to 13,947.40, 20,942.70 and 8,115.40 is: 12,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.40 : 20,942.70 = 8,115.40 : x
  2. Step 2: Convert to fraction form
    13,947.40/20,942.70 = 8,115.40/x
  3. Step 3: Cross multiply
    13,947.40x = 20,942.70 × 8,115.40
  4. Step 4: Simplify right side
    13,947.40x = 169,958,387.58
  5. Step 5: Solve for x
    x = 169,958,387.58/13,947.40
  6. Step 6: Final answer
    x = 12,185.67

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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.