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Finding the Fourth Proportional to 13,405.20, 20,099.80 and 8,214.80

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Solution

The fourth proportional to 13,405.20, 20,099.80 and 8,214.80 is: 12,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.20 : 20,099.80 = 8,214.80 : x
  2. Step 2: Convert to fraction form
    13,405.20/20,099.80 = 8,214.80/x
  3. Step 3: Cross multiply
    13,405.20x = 20,099.80 × 8,214.80
  4. Step 4: Simplify right side
    13,405.20x = 165,115,837.04
  5. Step 5: Solve for x
    x = 165,115,837.04/13,405.20
  6. Step 6: Final answer
    x = 12,317.30

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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.