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Finding the Fourth Proportional to 36,286.32, 54,429.48 and 9,991.32

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Solution

The fourth proportional to 36,286.32, 54,429.48 and 9,991.32 is: 14,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,286.32 : 54,429.48 = 9,991.32 : x
  2. Step 2: Convert to fraction form
    36,286.32/54,429.48 = 9,991.32/x
  3. Step 3: Cross multiply
    36,286.32x = 54,429.48 × 9,991.32
  4. Step 4: Simplify right side
    36,286.32x = 543,822,352.11
  5. Step 5: Solve for x
    x = 543,822,352.11/36,286.32
  6. Step 6: Final answer
    x = 14,986.98

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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.