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Finding the Fourth Proportional to 11,145.84, 16,724.22 and 7,879.92

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Solution

The fourth proportional to 11,145.84, 16,724.22 and 7,879.92 is: 11,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.84 : 16,724.22 = 7,879.92 : x
  2. Step 2: Convert to fraction form
    11,145.84/16,724.22 = 7,879.92/x
  3. Step 3: Cross multiply
    11,145.84x = 16,724.22 × 7,879.92
  4. Step 4: Simplify right side
    11,145.84x = 131,785,515.66
  5. Step 5: Solve for x
    x = 131,785,515.66/11,145.84
  6. Step 6: Final answer
    x = 11,823.74

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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.