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Finding the Fourth Proportional to 13,422.57, 18,532.41 and 8,389.05

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Solution

The fourth proportional to 13,422.57, 18,532.41 and 8,389.05 is: 11,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.57 : 18,532.41 = 8,389.05 : x
  2. Step 2: Convert to fraction form
    13,422.57/18,532.41 = 8,389.05/x
  3. Step 3: Cross multiply
    13,422.57x = 18,532.41 × 8,389.05
  4. Step 4: Simplify right side
    13,422.57x = 155,469,213.16
  5. Step 5: Solve for x
    x = 155,469,213.16/13,422.57
  6. Step 6: Final answer
    x = 11,582.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.