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Finding the Fourth Proportional to 11,959.32, 16,489.76 and 8,184.32

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Solution

The fourth proportional to 11,959.32, 16,489.76 and 8,184.32 is: 11,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.32 : 16,489.76 = 8,184.32 : x
  2. Step 2: Convert to fraction form
    11,959.32/16,489.76 = 8,184.32/x
  3. Step 3: Cross multiply
    11,959.32x = 16,489.76 × 8,184.32
  4. Step 4: Simplify right side
    11,959.32x = 134,957,472.56
  5. Step 5: Solve for x
    x = 134,957,472.56/11,959.32
  6. Step 6: Final answer
    x = 11,284.71

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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.