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Finding the Fourth Proportional to 9,178.44, 12,731.22 and 8,863.74

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Solution

The fourth proportional to 9,178.44, 12,731.22 and 8,863.74 is: 12,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.44 : 12,731.22 = 8,863.74 : x
  2. Step 2: Convert to fraction form
    9,178.44/12,731.22 = 8,863.74/x
  3. Step 3: Cross multiply
    9,178.44x = 12,731.22 × 8,863.74
  4. Step 4: Simplify right side
    9,178.44x = 112,846,223.96
  5. Step 5: Solve for x
    x = 112,846,223.96/9,178.44
  6. Step 6: Final answer
    x = 12,294.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.