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Finding the Fourth Proportional to 13,414.80, 20,122.20 and 8,506.20

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Solution

The fourth proportional to 13,414.80, 20,122.20 and 8,506.20 is: 12,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.80 : 20,122.20 = 8,506.20 : x
  2. Step 2: Convert to fraction form
    13,414.80/20,122.20 = 8,506.20/x
  3. Step 3: Cross multiply
    13,414.80x = 20,122.20 × 8,506.20
  4. Step 4: Simplify right side
    13,414.80x = 171,163,457.64
  5. Step 5: Solve for x
    x = 171,163,457.64/13,414.80
  6. Step 6: Final answer
    x = 12,759.30

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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.