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Finding the Fourth Proportional to 13,812.48, 20,736.78 and 8,200.39

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Solution

The fourth proportional to 13,812.48, 20,736.78 and 8,200.39 is: 12,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.48 : 20,736.78 = 8,200.39 : x
  2. Step 2: Convert to fraction form
    13,812.48/20,736.78 = 8,200.39/x
  3. Step 3: Cross multiply
    13,812.48x = 20,736.78 × 8,200.39
  4. Step 4: Simplify right side
    13,812.48x = 170,049,683.34
  5. Step 5: Solve for x
    x = 170,049,683.34/13,812.48
  6. Step 6: Final answer
    x = 12,311.31

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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.