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Finding the Fourth Proportional to 8,207.72, 12,313.16 and 2,662.44

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Solution

The fourth proportional to 8,207.72, 12,313.16 and 2,662.44 is: 3,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.72 : 12,313.16 = 2,662.44 : x
  2. Step 2: Convert to fraction form
    8,207.72/12,313.16 = 2,662.44/x
  3. Step 3: Cross multiply
    8,207.72x = 12,313.16 × 2,662.44
  4. Step 4: Simplify right side
    8,207.72x = 32,783,049.71
  5. Step 5: Solve for x
    x = 32,783,049.71/8,207.72
  6. Step 6: Final answer
    x = 3,994.17

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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.