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Finding the Fourth Proportional to 8,221.77, 12,341.37 and 6,680.37

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Solution

The fourth proportional to 8,221.77, 12,341.37 and 6,680.37 is: 10,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.77 : 12,341.37 = 6,680.37 : x
  2. Step 2: Convert to fraction form
    8,221.77/12,341.37 = 6,680.37/x
  3. Step 3: Cross multiply
    8,221.77x = 12,341.37 × 6,680.37
  4. Step 4: Simplify right side
    8,221.77x = 82,444,917.91
  5. Step 5: Solve for x
    x = 82,444,917.91/8,221.77
  6. Step 6: Final answer
    x = 10,027.64

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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.