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Finding the Fourth Proportional to 8,235.81, 11,367.14 and 7,571.61

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Solution

The fourth proportional to 8,235.81, 11,367.14 and 7,571.61 is: 10,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.81 : 11,367.14 = 7,571.61 : x
  2. Step 2: Convert to fraction form
    8,235.81/11,367.14 = 7,571.61/x
  3. Step 3: Cross multiply
    8,235.81x = 11,367.14 × 7,571.61
  4. Step 4: Simplify right side
    8,235.81x = 86,067,513.04
  5. Step 5: Solve for x
    x = 86,067,513.04/8,235.81
  6. Step 6: Final answer
    x = 10,450.40

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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.