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Finding the Fourth Proportional to 13,609.40, 20,414.10 and 8,360.60

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Solution

The fourth proportional to 13,609.40, 20,414.10 and 8,360.60 is: 12,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.40 : 20,414.10 = 8,360.60 : x
  2. Step 2: Convert to fraction form
    13,609.40/20,414.10 = 8,360.60/x
  3. Step 3: Cross multiply
    13,609.40x = 20,414.10 × 8,360.60
  4. Step 4: Simplify right side
    13,609.40x = 170,674,124.46
  5. Step 5: Solve for x
    x = 170,674,124.46/13,609.40
  6. Step 6: Final answer
    x = 12,540.90

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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.