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Finding the Fourth Proportional to 21,027, 31,544.82 and 8,715

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Solution

The fourth proportional to 21,027, 31,544.82 and 8,715 is: 13,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027 : 31,544.82 = 8,715 : x
  2. Step 2: Convert to fraction form
    21,027/31,544.82 = 8,715/x
  3. Step 3: Cross multiply
    21,027x = 31,544.82 × 8,715
  4. Step 4: Simplify right side
    21,027x = 274,913,106.30
  5. Step 5: Solve for x
    x = 274,913,106.30/21,027
  6. Step 6: Final answer
    x = 13,074.29

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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.