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Finding the Fourth Proportional to 8,081, 11,151.92 and 5,286.50

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Solution

The fourth proportional to 8,081, 11,151.92 and 5,286.50 is: 7,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081 : 11,151.92 = 5,286.50 : x
  2. Step 2: Convert to fraction form
    8,081/11,151.92 = 5,286.50/x
  3. Step 3: Cross multiply
    8,081x = 11,151.92 × 5,286.50
  4. Step 4: Simplify right side
    8,081x = 58,954,598.65
  5. Step 5: Solve for x
    x = 58,954,598.65/8,081
  6. Step 6: Final answer
    x = 7,295.46

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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.