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Finding the Fourth Proportional to 6,431.47, 8,878.10 and 4,662.73

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Solution

The fourth proportional to 6,431.47, 8,878.10 and 4,662.73 is: 6,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.47 : 8,878.10 = 4,662.73 : x
  2. Step 2: Convert to fraction form
    6,431.47/8,878.10 = 4,662.73/x
  3. Step 3: Cross multiply
    6,431.47x = 8,878.10 × 4,662.73
  4. Step 4: Simplify right side
    6,431.47x = 41,396,183.21
  5. Step 5: Solve for x
    x = 41,396,183.21/6,431.47
  6. Step 6: Final answer
    x = 6,436.50

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Half scale
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Double 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.