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Finding the Fourth Proportional to 8,309.73, 11,467.61 and 4,724.12

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Solution

The fourth proportional to 8,309.73, 11,467.61 and 4,724.12 is: 6,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.73 : 11,467.61 = 4,724.12 : x
  2. Step 2: Convert to fraction form
    8,309.73/11,467.61 = 4,724.12/x
  3. Step 3: Cross multiply
    8,309.73x = 11,467.61 × 4,724.12
  4. Step 4: Simplify right side
    8,309.73x = 54,174,365.75
  5. Step 5: Solve for x
    x = 54,174,365.75/8,309.73
  6. Step 6: Final answer
    x = 6,519.39

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Half scale
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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.