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Finding the Fourth Proportional to 11,612, 16,037.76 and 7,879.52

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Solution

The fourth proportional to 11,612, 16,037.76 and 7,879.52 is: 10,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612 : 16,037.76 = 7,879.52 : x
  2. Step 2: Convert to fraction form
    11,612/16,037.76 = 7,879.52/x
  3. Step 3: Cross multiply
    11,612x = 16,037.76 × 7,879.52
  4. Step 4: Simplify right side
    11,612x = 126,369,850.68
  5. Step 5: Solve for x
    x = 126,369,850.68/11,612
  6. Step 6: Final answer
    x = 10,882.69

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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.