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Finding the Fourth Proportional to 12,676.32, 17,489.64 and 8,200.20

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Solution

The fourth proportional to 12,676.32, 17,489.64 and 8,200.20 is: 11,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.32 : 17,489.64 = 8,200.20 : x
  2. Step 2: Convert to fraction form
    12,676.32/17,489.64 = 8,200.20/x
  3. Step 3: Cross multiply
    12,676.32x = 17,489.64 × 8,200.20
  4. Step 4: Simplify right side
    12,676.32x = 143,418,545.93
  5. Step 5: Solve for x
    x = 143,418,545.93/12,676.32
  6. Step 6: Final answer
    x = 11,313.89

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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.