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Finding the Fourth Proportional to 10,873.92, 16,296.16 and 7,789.12

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Solution

The fourth proportional to 10,873.92, 16,296.16 and 7,789.12 is: 11,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.92 : 16,296.16 = 7,789.12 : x
  2. Step 2: Convert to fraction form
    10,873.92/16,296.16 = 7,789.12/x
  3. Step 3: Cross multiply
    10,873.92x = 16,296.16 × 7,789.12
  4. Step 4: Simplify right side
    10,873.92x = 126,932,745.78
  5. Step 5: Solve for x
    x = 126,932,745.78/10,873.92
  6. Step 6: Final answer
    x = 11,673.14

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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.