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Finding the Fourth Proportional to 9,639.92, 14,427 and 8,081.69

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Solution

The fourth proportional to 9,639.92, 14,427 and 8,081.69 is: 12,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.92 : 14,427 = 8,081.69 : x
  2. Step 2: Convert to fraction form
    9,639.92/14,427 = 8,081.69/x
  3. Step 3: Cross multiply
    9,639.92x = 14,427 × 8,081.69
  4. Step 4: Simplify right side
    9,639.92x = 116,594,469.50
  5. Step 5: Solve for x
    x = 116,594,469.50/9,639.92
  6. Step 6: Final answer
    x = 12,094.96

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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.