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Finding the Fourth Proportional to 21,228, 31,855.68 and 8,916

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Solution

The fourth proportional to 21,228, 31,855.68 and 8,916 is: 13,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228 : 31,855.68 = 8,916 : x
  2. Step 2: Convert to fraction form
    21,228/31,855.68 = 8,916/x
  3. Step 3: Cross multiply
    21,228x = 31,855.68 × 8,916
  4. Step 4: Simplify right side
    21,228x = 284,025,242.88
  5. Step 5: Solve for x
    x = 284,025,242.88/21,228
  6. Step 6: Final answer
    x = 13,379.75

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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.