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Finding the Fourth Proportional to 20,643.10, 30,964.92 and 8,157.76

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Solution

The fourth proportional to 20,643.10, 30,964.92 and 8,157.76 is: 12,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.10 : 30,964.92 = 8,157.76 : x
  2. Step 2: Convert to fraction form
    20,643.10/30,964.92 = 8,157.76/x
  3. Step 3: Cross multiply
    20,643.10x = 30,964.92 × 8,157.76
  4. Step 4: Simplify right side
    20,643.10x = 252,604,385.78
  5. Step 5: Solve for x
    x = 252,604,385.78/20,643.10
  6. Step 6: Final answer
    x = 12,236.75

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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.