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Finding the Fourth Proportional to 15,197.64, 20,972.16 and 9,229.56

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Solution

The fourth proportional to 15,197.64, 20,972.16 and 9,229.56 is: 12,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.64 : 20,972.16 = 9,229.56 : x
  2. Step 2: Convert to fraction form
    15,197.64/20,972.16 = 9,229.56/x
  3. Step 3: Cross multiply
    15,197.64x = 20,972.16 × 9,229.56
  4. Step 4: Simplify right side
    15,197.64x = 193,563,809.05
  5. Step 5: Solve for x
    x = 193,563,809.05/15,197.64
  6. Step 6: Final answer
    x = 12,736.44

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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.