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Finding the Fourth Proportional to 8,270.64, 12,383.84 and 6,958.44

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Solution

The fourth proportional to 8,270.64, 12,383.84 and 6,958.44 is: 10,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.64 : 12,383.84 = 6,958.44 : x
  2. Step 2: Convert to fraction form
    8,270.64/12,383.84 = 6,958.44/x
  3. Step 3: Cross multiply
    8,270.64x = 12,383.84 × 6,958.44
  4. Step 4: Simplify right side
    8,270.64x = 86,172,172.82
  5. Step 5: Solve for x
    x = 86,172,172.82/8,270.64
  6. Step 6: Final answer
    x = 10,419.05

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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.