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Finding the Fourth Proportional to 8,207.82, 12,309.30 and 4,310.10

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Solution

The fourth proportional to 8,207.82, 12,309.30 and 4,310.10 is: 6,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.82 : 12,309.30 = 4,310.10 : x
  2. Step 2: Convert to fraction form
    8,207.82/12,309.30 = 4,310.10/x
  3. Step 3: Cross multiply
    8,207.82x = 12,309.30 × 4,310.10
  4. Step 4: Simplify right side
    8,207.82x = 53,054,313.93
  5. Step 5: Solve for x
    x = 53,054,313.93/8,207.82
  6. Step 6: Final answer
    x = 6,463.87

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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.