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Finding the Fourth Proportional to 20,758.74, 28,647 and 11,327.29

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Solution

The fourth proportional to 20,758.74, 28,647 and 11,327.29 is: 15,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758.74 : 28,647 = 11,327.29 : x
  2. Step 2: Convert to fraction form
    20,758.74/28,647 = 11,327.29/x
  3. Step 3: Cross multiply
    20,758.74x = 28,647 × 11,327.29
  4. Step 4: Simplify right side
    20,758.74x = 324,492,876.63
  5. Step 5: Solve for x
    x = 324,492,876.63/20,758.74
  6. Step 6: Final answer
    x = 15,631.63

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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.