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Finding the Fourth Proportional to 13,823.06, 20,706.06 and 7,229.30

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Solution

The fourth proportional to 13,823.06, 20,706.06 and 7,229.30 is: 10,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.06 : 20,706.06 = 7,229.30 : x
  2. Step 2: Convert to fraction form
    13,823.06/20,706.06 = 7,229.30/x
  3. Step 3: Cross multiply
    13,823.06x = 20,706.06 × 7,229.30
  4. Step 4: Simplify right side
    13,823.06x = 149,690,319.56
  5. Step 5: Solve for x
    x = 149,690,319.56/13,823.06
  6. Step 6: Final answer
    x = 10,829.03

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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.