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Finding the Fourth Proportional to 8,512.28, 12,765.68 and 2,964.13

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Solution

The fourth proportional to 8,512.28, 12,765.68 and 2,964.13 is: 4,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.28 : 12,765.68 = 2,964.13 : x
  2. Step 2: Convert to fraction form
    8,512.28/12,765.68 = 2,964.13/x
  3. Step 3: Cross multiply
    8,512.28x = 12,765.68 × 2,964.13
  4. Step 4: Simplify right side
    8,512.28x = 37,839,099.44
  5. Step 5: Solve for x
    x = 37,839,099.44/8,512.28
  6. Step 6: Final answer
    x = 4,445.24

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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.