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Finding the Fourth Proportional to 13,568.40, 20,309.40 and 9,680.40

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Solution

The fourth proportional to 13,568.40, 20,309.40 and 9,680.40 is: 14,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.40 : 20,309.40 = 9,680.40 : x
  2. Step 2: Convert to fraction form
    13,568.40/20,309.40 = 9,680.40/x
  3. Step 3: Cross multiply
    13,568.40x = 20,309.40 × 9,680.40
  4. Step 4: Simplify right side
    13,568.40x = 196,603,115.76
  5. Step 5: Solve for x
    x = 196,603,115.76/13,568.40
  6. Step 6: Final answer
    x = 14,489.78

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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.