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Finding the Fourth Proportional to 13,451.40, 20,138.70 and 8,267.40

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Solution

The fourth proportional to 13,451.40, 20,138.70 and 8,267.40 is: 12,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.40 : 20,138.70 = 8,267.40 : x
  2. Step 2: Convert to fraction form
    13,451.40/20,138.70 = 8,267.40/x
  3. Step 3: Cross multiply
    13,451.40x = 20,138.70 × 8,267.40
  4. Step 4: Simplify right side
    13,451.40x = 166,494,688.38
  5. Step 5: Solve for x
    x = 166,494,688.38/13,451.40
  6. Step 6: Final answer
    x = 12,377.50

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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.