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Finding the Fourth Proportional to 15,197.92, 20,969.24 and 9,229.68

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Solution

The fourth proportional to 15,197.92, 20,969.24 and 9,229.68 is: 12,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.92 : 20,969.24 = 9,229.68 : x
  2. Step 2: Convert to fraction form
    15,197.92/20,969.24 = 9,229.68/x
  3. Step 3: Cross multiply
    15,197.92x = 20,969.24 × 9,229.68
  4. Step 4: Simplify right side
    15,197.92x = 193,539,375.04
  5. Step 5: Solve for x
    x = 193,539,375.04/15,197.92
  6. Step 6: Final answer
    x = 12,734.60

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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.