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Finding the Fourth Proportional to 20,627.28, 30,935.97 and 9,523.30

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Solution

The fourth proportional to 20,627.28, 30,935.97 and 9,523.30 is: 14,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627.28 : 30,935.97 = 9,523.30 : x
  2. Step 2: Convert to fraction form
    20,627.28/30,935.97 = 9,523.30/x
  3. Step 3: Cross multiply
    20,627.28x = 30,935.97 × 9,523.30
  4. Step 4: Simplify right side
    20,627.28x = 294,612,475.48
  5. Step 5: Solve for x
    x = 294,612,475.48/20,627.28
  6. Step 6: Final answer
    x = 14,282.66

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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.