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Finding the Fourth Proportional to 13,420.76, 20,121.96 and 6,834.20

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Solution

The fourth proportional to 13,420.76, 20,121.96 and 6,834.20 is: 10,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.76 : 20,121.96 = 6,834.20 : x
  2. Step 2: Convert to fraction form
    13,420.76/20,121.96 = 6,834.20/x
  3. Step 3: Cross multiply
    13,420.76x = 20,121.96 × 6,834.20
  4. Step 4: Simplify right side
    13,420.76x = 137,517,499.03
  5. Step 5: Solve for x
    x = 137,517,499.03/13,420.76
  6. Step 6: Final answer
    x = 10,246.63

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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.