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Finding the Fourth Proportional to 21,230, 31,858.68 and 8,918

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Solution

The fourth proportional to 21,230, 31,858.68 and 8,918 is: 13,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230 : 31,858.68 = 8,918 : x
  2. Step 2: Convert to fraction form
    21,230/31,858.68 = 8,918/x
  3. Step 3: Cross multiply
    21,230x = 31,858.68 × 8,918
  4. Step 4: Simplify right side
    21,230x = 284,115,708.24
  5. Step 5: Solve for x
    x = 284,115,708.24/21,230
  6. Step 6: Final answer
    x = 13,382.75

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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.