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Finding the Fourth Proportional to 12,183, 16,815.69 and 7,944.63

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Solution

The fourth proportional to 12,183, 16,815.69 and 7,944.63 is: 10,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183 : 16,815.69 = 7,944.63 : x
  2. Step 2: Convert to fraction form
    12,183/16,815.69 = 7,944.63/x
  3. Step 3: Cross multiply
    12,183x = 16,815.69 × 7,944.63
  4. Step 4: Simplify right side
    12,183x = 133,594,435.24
  5. Step 5: Solve for x
    x = 133,594,435.24/12,183
  6. Step 6: Final answer
    x = 10,965.64

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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.